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Finding the Third Proportional to 129,910 and 176,049

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Solution

The third proportional to 129,910 and 176,049 is: 238,574.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,910 : 176,049 = 176,049 : x
  2. Step 2: Convert to fraction form
    129,910/176,049 = 176,049/x
  3. Step 3: Cross multiply
    129,910x = 176,049 × 176,049
  4. Step 4: Simplify right side
    129,910x = 30,993,250,401
  5. Step 5: Solve for x
    x = 30,993,250,401/129,910
  6. Step 6: Final answer
    x = 238,574.79

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.