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Finding the Third Proportional to 287,304 and 629,472

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Solution

The third proportional to 287,304 and 629,472 is: 1,379,148.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,304 : 629,472 = 629,472 : x
  2. Step 2: Convert to fraction form
    287,304/629,472 = 629,472/x
  3. Step 3: Cross multiply
    287,304x = 629,472 × 629,472
  4. Step 4: Simplify right side
    287,304x = 396,234,998,784
  5. Step 5: Solve for x
    x = 396,234,998,784/287,304
  6. Step 6: Final answer
    x = 1,379,148.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.