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Finding the Third Proportional to 85.59 and 132.10

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Solution

The third proportional to 85.59 and 132.10 is: 203.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.59 : 132.10 = 132.10 : x
  2. Step 2: Convert to fraction form
    85.59/132.10 = 132.10/x
  3. Step 3: Cross multiply
    85.59x = 132.10 × 132.10
  4. Step 4: Simplify right side
    85.59x = 17,450.31
  5. Step 5: Solve for x
    x = 17,450.31/85.59
  6. Step 6: Final answer
    x = 203.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.