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Finding the Third Proportional to 71,876 and 102,921

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Solution

The third proportional to 71,876 and 102,921 is: 147,375.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,876 : 102,921 = 102,921 : x
  2. Step 2: Convert to fraction form
    71,876/102,921 = 102,921/x
  3. Step 3: Cross multiply
    71,876x = 102,921 × 102,921
  4. Step 4: Simplify right side
    71,876x = 10,592,732,241
  5. Step 5: Solve for x
    x = 10,592,732,241/71,876
  6. Step 6: Final answer
    x = 147,375.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.