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Finding the Third Proportional to 257,948 and 398,424

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Solution

The third proportional to 257,948 and 398,424 is: 615,401.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,948 : 398,424 = 398,424 : x
  2. Step 2: Convert to fraction form
    257,948/398,424 = 398,424/x
  3. Step 3: Cross multiply
    257,948x = 398,424 × 398,424
  4. Step 4: Simplify right side
    257,948x = 158,741,683,776
  5. Step 5: Solve for x
    x = 158,741,683,776/257,948
  6. Step 6: Final answer
    x = 615,401.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.