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Finding the Third Proportional to 112,909 and 169,373

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Solution

The third proportional to 112,909 and 169,373 is: 254,073.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,909 : 169,373 = 169,373 : x
  2. Step 2: Convert to fraction form
    112,909/169,373 = 169,373/x
  3. Step 3: Cross multiply
    112,909x = 169,373 × 169,373
  4. Step 4: Simplify right side
    112,909x = 28,687,213,129
  5. Step 5: Solve for x
    x = 28,687,213,129/112,909
  6. Step 6: Final answer
    x = 254,073.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.