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Finding the Third Proportional to 87,072.89 and 191,270.53

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Solution

The third proportional to 87,072.89 and 191,270.53 is: 420,158.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,072.89 : 191,270.53 = 191,270.53 : x
  2. Step 2: Convert to fraction form
    87,072.89/191,270.53 = 191,270.53/x
  3. Step 3: Cross multiply
    87,072.89x = 191,270.53 × 191,270.53
  4. Step 4: Simplify right side
    87,072.89x = 36,584,416,124.66
  5. Step 5: Solve for x
    x = 36,584,416,124.66/87,072.89
  6. Step 6: Final answer
    x = 420,158.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.