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Finding the Third Proportional to 68,186 and 141,876

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Solution

The third proportional to 68,186 and 141,876 is: 295,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,186 : 141,876 = 141,876 : x
  2. Step 2: Convert to fraction form
    68,186/141,876 = 141,876/x
  3. Step 3: Cross multiply
    68,186x = 141,876 × 141,876
  4. Step 4: Simplify right side
    68,186x = 20,128,799,376
  5. Step 5: Solve for x
    x = 20,128,799,376/68,186
  6. Step 6: Final answer
    x = 295,204.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.