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Finding the Third Proportional to 257,832 and 398,410

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Solution

The third proportional to 257,832 and 398,410 is: 615,635.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,832 : 398,410 = 398,410 : x
  2. Step 2: Convert to fraction form
    257,832/398,410 = 398,410/x
  3. Step 3: Cross multiply
    257,832x = 398,410 × 398,410
  4. Step 4: Simplify right side
    257,832x = 158,730,528,100
  5. Step 5: Solve for x
    x = 158,730,528,100/257,832
  6. Step 6: Final answer
    x = 615,635.48

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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.