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Finding the Third Proportional to 257,948 and 398,586

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Solution

The third proportional to 257,948 and 398,586 is: 615,902.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,948 : 398,586 = 398,586 : x
  2. Step 2: Convert to fraction form
    257,948/398,586 = 398,586/x
  3. Step 3: Cross multiply
    257,948x = 398,586 × 398,586
  4. Step 4: Simplify right side
    257,948x = 158,870,799,396
  5. Step 5: Solve for x
    x = 158,870,799,396/257,948
  6. Step 6: Final answer
    x = 615,902.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.