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Finding the Third Proportional to 498,554 and 699,555

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Solution

The third proportional to 498,554 and 699,555 is: 981,593.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,554 : 699,555 = 699,555 : x
  2. Step 2: Convert to fraction form
    498,554/699,555 = 699,555/x
  3. Step 3: Cross multiply
    498,554x = 699,555 × 699,555
  4. Step 4: Simplify right side
    498,554x = 489,377,198,025
  5. Step 5: Solve for x
    x = 489,377,198,025/498,554
  6. Step 6: Final answer
    x = 981,593.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.