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Finding the Third Proportional to 408,728 and 637,924

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Solution

The third proportional to 408,728 and 637,924 is: 995,642.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,728 : 637,924 = 637,924 : x
  2. Step 2: Convert to fraction form
    408,728/637,924 = 637,924/x
  3. Step 3: Cross multiply
    408,728x = 637,924 × 637,924
  4. Step 4: Simplify right side
    408,728x = 406,947,029,776
  5. Step 5: Solve for x
    x = 406,947,029,776/408,728
  6. Step 6: Final answer
    x = 995,642.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.