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Finding the Third Proportional to 79,876 and 133,128

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Solution

The third proportional to 79,876 and 133,128 is: 221,882.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,876 : 133,128 = 133,128 : x
  2. Step 2: Convert to fraction form
    79,876/133,128 = 133,128/x
  3. Step 3: Cross multiply
    79,876x = 133,128 × 133,128
  4. Step 4: Simplify right side
    79,876x = 17,723,064,384
  5. Step 5: Solve for x
    x = 17,723,064,384/79,876
  6. Step 6: Final answer
    x = 221,882.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.