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Finding the Third Proportional to 398,854 and 634,244

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Solution

The third proportional to 398,854 and 634,244 is: 1,008,553.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,854 : 634,244 = 634,244 : x
  2. Step 2: Convert to fraction form
    398,854/634,244 = 634,244/x
  3. Step 3: Cross multiply
    398,854x = 634,244 × 634,244
  4. Step 4: Simplify right side
    398,854x = 402,265,451,536
  5. Step 5: Solve for x
    x = 402,265,451,536/398,854
  6. Step 6: Final answer
    x = 1,008,553.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.