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Finding the Third Proportional to 85.64 and 129.52

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Solution

The third proportional to 85.64 and 129.52 is: 195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.64 : 129.52 = 129.52 : x
  2. Step 2: Convert to fraction form
    85.64/129.52 = 129.52/x
  3. Step 3: Cross multiply
    85.64x = 129.52 × 129.52
  4. Step 4: Simplify right side
    85.64x = 16,774.30
  5. Step 5: Solve for x
    x = 16,774.30/85.64
  6. Step 6: Final answer
    x = 195.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.