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Finding the Third Proportional to 257,874 and 398,475

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Solution

The third proportional to 257,874 and 398,475 is: 615,736.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,874 : 398,475 = 398,475 : x
  2. Step 2: Convert to fraction form
    257,874/398,475 = 398,475/x
  3. Step 3: Cross multiply
    257,874x = 398,475 × 398,475
  4. Step 4: Simplify right side
    257,874x = 158,782,325,625
  5. Step 5: Solve for x
    x = 158,782,325,625/257,874
  6. Step 6: Final answer
    x = 615,736.08

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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.