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Finding the Third Proportional to 129,474 and 174,930

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Solution

The third proportional to 129,474 and 174,930 is: 236,344.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,474 : 174,930 = 174,930 : x
  2. Step 2: Convert to fraction form
    129,474/174,930 = 174,930/x
  3. Step 3: Cross multiply
    129,474x = 174,930 × 174,930
  4. Step 4: Simplify right side
    129,474x = 30,600,504,900
  5. Step 5: Solve for x
    x = 30,600,504,900/129,474
  6. Step 6: Final answer
    x = 236,344.79

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.