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Finding the Third Proportional to 85.71 and 132.68

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Solution

The third proportional to 85.71 and 132.68 is: 205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.71 : 132.68 = 132.68 : x
  2. Step 2: Convert to fraction form
    85.71/132.68 = 132.68/x
  3. Step 3: Cross multiply
    85.71x = 132.68 × 132.68
  4. Step 4: Simplify right side
    85.71x = 17,603.90
  5. Step 5: Solve for x
    x = 17,603.90/85.71
  6. Step 6: Final answer
    x = 205.39

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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.