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Finding the Third Proportional to 85,257.56 and 132,384.38

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Solution

The third proportional to 85,257.56 and 132,384.38 is: 205,560.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,257.56 : 132,384.38 = 132,384.38 : x
  2. Step 2: Convert to fraction form
    85,257.56/132,384.38 = 132,384.38/x
  3. Step 3: Cross multiply
    85,257.56x = 132,384.38 × 132,384.38
  4. Step 4: Simplify right side
    85,257.56x = 17,525,622,744.14
  5. Step 5: Solve for x
    x = 17,525,622,744.14/85,257.56
  6. Step 6: Final answer
    x = 205,560.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.