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Finding the Third Proportional to 378,127,566 and 820,789,452

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Solution

The third proportional to 378,127,566 and 820,789,452 is: 1,781,661,494.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,127,566 : 820,789,452 = 820,789,452 : x
  2. Step 2: Convert to fraction form
    378,127,566/820,789,452 = 820,789,452/x
  3. Step 3: Cross multiply
    378,127,566x = 820,789,452 × 820,789,452
  4. Step 4: Simplify right side
    378,127,566x = 673,695,324,514,460,288
  5. Step 5: Solve for x
    x = 673,695,324,514,460,288/378,127,566
  6. Step 6: Final answer
    x = 1,781,661,494.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.