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Finding the Third Proportional to 87,136 and 190,876

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Solution

The third proportional to 87,136 and 190,876 is: 418,123.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,136 : 190,876 = 190,876 : x
  2. Step 2: Convert to fraction form
    87,136/190,876 = 190,876/x
  3. Step 3: Cross multiply
    87,136x = 190,876 × 190,876
  4. Step 4: Simplify right side
    87,136x = 36,433,647,376
  5. Step 5: Solve for x
    x = 36,433,647,376/87,136
  6. Step 6: Final answer
    x = 418,123.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.