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Finding the Third Proportional to 129,484 and 172,632

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Solution

The third proportional to 129,484 and 172,632 is: 230,158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,484 : 172,632 = 172,632 : x
  2. Step 2: Convert to fraction form
    129,484/172,632 = 172,632/x
  3. Step 3: Cross multiply
    129,484x = 172,632 × 172,632
  4. Step 4: Simplify right side
    129,484x = 29,801,807,424
  5. Step 5: Solve for x
    x = 29,801,807,424/129,484
  6. Step 6: Final answer
    x = 230,158.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.