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Finding the Third Proportional to 1,302,472,370,454.80 and 1,970,460,135,006.80

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Solution

The third proportional to 1,302,472,370,454.80 and 1,970,460,135,006.80 is: 2,981,033,019,760.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,472,370,454.80 : 1,970,460,135,006.80 = 1,970,460,135,006.80 : x
  2. Step 2: Convert to fraction form
    1,302,472,370,454.80/1,970,460,135,006.80 = 1,970,460,135,006.80/x
  3. Step 3: Cross multiply
    1,302,472,370,454.80x = 1,970,460,135,006.80 × 1,970,460,135,006.80
  4. Step 4: Simplify right side
    1,302,472,370,454.80x = 3,882,713,143,651,016,535,703,552
  5. Step 5: Solve for x
    x = 3,882,713,143,651,016,535,703,552/1,302,472,370,454.80
  6. Step 6: Final answer
    x = 2,981,033,019,760.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.