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Finding the Third Proportional to 85.43 and 129.73

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Solution

The third proportional to 85.43 and 129.73 is: 196.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.43 : 129.73 = 129.73 : x
  2. Step 2: Convert to fraction form
    85.43/129.73 = 129.73/x
  3. Step 3: Cross multiply
    85.43x = 129.73 × 129.73
  4. Step 4: Simplify right side
    85.43x = 16,828.98
  5. Step 5: Solve for x
    x = 16,828.98/85.43
  6. Step 6: Final answer
    x = 196.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.