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Finding the Third Proportional to 287,726,666 and 420,666,448

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Solution

The third proportional to 287,726,666 and 420,666,448 is: 615,029,058.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,726,666 : 420,666,448 = 420,666,448 : x
  2. Step 2: Convert to fraction form
    287,726,666/420,666,448 = 420,666,448/x
  3. Step 3: Cross multiply
    287,726,666x = 420,666,448 × 420,666,448
  4. Step 4: Simplify right side
    287,726,666x = 176,960,260,472,936,704
  5. Step 5: Solve for x
    x = 176,960,260,472,936,704/287,726,666
  6. Step 6: Final answer
    x = 615,029,058.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.