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Finding the Third Proportional to 97.17 and 135.77

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Solution

The third proportional to 97.17 and 135.77 is: 189.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.17 : 135.77 = 135.77 : x
  2. Step 2: Convert to fraction form
    97.17/135.77 = 135.77/x
  3. Step 3: Cross multiply
    97.17x = 135.77 × 135.77
  4. Step 4: Simplify right side
    97.17x = 18,434.43
  5. Step 5: Solve for x
    x = 18,434.43/97.17
  6. Step 6: Final answer
    x = 189.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.