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Finding the Third Proportional to 125,448 and 271,343

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Solution

The third proportional to 125,448 and 271,343 is: 586,912.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,448 : 271,343 = 271,343 : x
  2. Step 2: Convert to fraction form
    125,448/271,343 = 271,343/x
  3. Step 3: Cross multiply
    125,448x = 271,343 × 271,343
  4. Step 4: Simplify right side
    125,448x = 73,627,023,649
  5. Step 5: Solve for x
    x = 73,627,023,649/125,448
  6. Step 6: Final answer
    x = 586,912.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.