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Finding the Third Proportional to 257,814 and 398,388

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Solution

The third proportional to 257,814 and 398,388 is: 615,610.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,814 : 398,388 = 398,388 : x
  2. Step 2: Convert to fraction form
    257,814/398,388 = 398,388/x
  3. Step 3: Cross multiply
    257,814x = 398,388 × 398,388
  4. Step 4: Simplify right side
    257,814x = 158,712,998,544
  5. Step 5: Solve for x
    x = 158,712,998,544/257,814
  6. Step 6: Final answer
    x = 615,610.47

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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.