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Finding the Third Proportional to 1,302,472,370,443.70 and 1,970,460,134,990.80

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Solution

The third proportional to 1,302,472,370,443.70 and 1,970,460,134,990.80 is: 2,981,033,019,737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,472,370,443.70 : 1,970,460,134,990.80 = 1,970,460,134,990.80 : x
  2. Step 2: Convert to fraction form
    1,302,472,370,443.70/1,970,460,134,990.80 = 1,970,460,134,990.80/x
  3. Step 3: Cross multiply
    1,302,472,370,443.70x = 1,970,460,134,990.80 × 1,970,460,134,990.80
  4. Step 4: Simplify right side
    1,302,472,370,443.70x = 3,882,713,143,587,962,120,830,976
  5. Step 5: Solve for x
    x = 3,882,713,143,587,962,120,830,976/1,302,472,370,443.70
  6. Step 6: Final answer
    x = 2,981,033,019,737.13

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