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Finding the Third Proportional to 87,277.50 and 133,453.83

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Solution

The third proportional to 87,277.50 and 133,453.83 is: 204,060.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,277.50 : 133,453.83 = 133,453.83 : x
  2. Step 2: Convert to fraction form
    87,277.50/133,453.83 = 133,453.83/x
  3. Step 3: Cross multiply
    87,277.50x = 133,453.83 × 133,453.83
  4. Step 4: Simplify right side
    87,277.50x = 17,809,924,241.22
  5. Step 5: Solve for x
    x = 17,809,924,241.22/87,277.50
  6. Step 6: Final answer
    x = 204,060.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.