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Finding the Third Proportional to 408,842 and 616,949

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Solution

The third proportional to 408,842 and 616,949 is: 930,985.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,842 : 616,949 = 616,949 : x
  2. Step 2: Convert to fraction form
    408,842/616,949 = 616,949/x
  3. Step 3: Cross multiply
    408,842x = 616,949 × 616,949
  4. Step 4: Simplify right side
    408,842x = 380,626,068,601
  5. Step 5: Solve for x
    x = 380,626,068,601/408,842
  6. Step 6: Final answer
    x = 930,985.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.