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Finding the Third Proportional to 85,255.50 and 133,743

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Solution

The third proportional to 85,255.50 and 133,743 is: 209,806.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,255.50 : 133,743 = 133,743 : x
  2. Step 2: Convert to fraction form
    85,255.50/133,743 = 133,743/x
  3. Step 3: Cross multiply
    85,255.50x = 133,743 × 133,743
  4. Step 4: Simplify right side
    85,255.50x = 17,887,190,049
  5. Step 5: Solve for x
    x = 17,887,190,049/85,255.50
  6. Step 6: Final answer
    x = 209,806.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.