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Finding the Third Proportional to 120,686 and 257,398

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Solution

The third proportional to 120,686 and 257,398 is: 548,976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,686 : 257,398 = 257,398 : x
  2. Step 2: Convert to fraction form
    120,686/257,398 = 257,398/x
  3. Step 3: Cross multiply
    120,686x = 257,398 × 257,398
  4. Step 4: Simplify right side
    120,686x = 66,253,730,404
  5. Step 5: Solve for x
    x = 66,253,730,404/120,686
  6. Step 6: Final answer
    x = 548,976.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.