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Finding the Third Proportional to 487,616 and 731,424

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Solution

The third proportional to 487,616 and 731,424 is: 1,097,136

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,616 : 731,424 = 731,424 : x
  2. Step 2: Convert to fraction form
    487,616/731,424 = 731,424/x
  3. Step 3: Cross multiply
    487,616x = 731,424 × 731,424
  4. Step 4: Simplify right side
    487,616x = 534,981,067,776
  5. Step 5: Solve for x
    x = 534,981,067,776/487,616
  6. Step 6: Final answer
    x = 1,097,136

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.