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Finding the Third Proportional to 71,876 and 156,185

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Solution

The third proportional to 71,876 and 156,185 is: 339,386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,876 : 156,185 = 156,185 : x
  2. Step 2: Convert to fraction form
    71,876/156,185 = 156,185/x
  3. Step 3: Cross multiply
    71,876x = 156,185 × 156,185
  4. Step 4: Simplify right side
    71,876x = 24,393,754,225
  5. Step 5: Solve for x
    x = 24,393,754,225/71,876
  6. Step 6: Final answer
    x = 339,386.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.