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Finding the Third Proportional to 80,876 and 172,835

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Solution

The third proportional to 80,876 and 172,835 is: 369,354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,876 : 172,835 = 172,835 : x
  2. Step 2: Convert to fraction form
    80,876/172,835 = 172,835/x
  3. Step 3: Cross multiply
    80,876x = 172,835 × 172,835
  4. Step 4: Simplify right side
    80,876x = 29,871,937,225
  5. Step 5: Solve for x
    x = 29,871,937,225/80,876
  6. Step 6: Final answer
    x = 369,354.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.