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Finding the Third Proportional to 87,166.76 and 190,912.57

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Solution

The third proportional to 87,166.76 and 190,912.57 is: 418,136.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,166.76 : 190,912.57 = 190,912.57 : x
  2. Step 2: Convert to fraction form
    87,166.76/190,912.57 = 190,912.57/x
  3. Step 3: Cross multiply
    87,166.76x = 190,912.57 × 190,912.57
  4. Step 4: Simplify right side
    87,166.76x = 36,447,609,503.33
  5. Step 5: Solve for x
    x = 36,447,609,503.33/87,166.76
  6. Step 6: Final answer
    x = 418,136.57

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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.