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Finding the Third Proportional to 85.31 and 129.19

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Solution

The third proportional to 85.31 and 129.19 is: 195.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.31 : 129.19 = 129.19 : x
  2. Step 2: Convert to fraction form
    85.31/129.19 = 129.19/x
  3. Step 3: Cross multiply
    85.31x = 129.19 × 129.19
  4. Step 4: Simplify right side
    85.31x = 16,689.41
  5. Step 5: Solve for x
    x = 16,689.41/85.31
  6. Step 6: Final answer
    x = 195.63

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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.