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Finding the Third Proportional to 257,990 and 398,486

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Solution

The third proportional to 257,990 and 398,486 is: 615,493.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,990 : 398,486 = 398,486 : x
  2. Step 2: Convert to fraction form
    257,990/398,486 = 398,486/x
  3. Step 3: Cross multiply
    257,990x = 398,486 × 398,486
  4. Step 4: Simplify right side
    257,990x = 158,791,092,196
  5. Step 5: Solve for x
    x = 158,791,092,196/257,990
  6. Step 6: Final answer
    x = 615,493.21

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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.