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Finding the Third Proportional to 75.28 and 95.72

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Solution

The third proportional to 75.28 and 95.72 is: 121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.28 : 95.72 = 95.72 : x
  2. Step 2: Convert to fraction form
    75.28/95.72 = 95.72/x
  3. Step 3: Cross multiply
    75.28x = 95.72 × 95.72
  4. Step 4: Simplify right side
    75.28x = 9,162.08
  5. Step 5: Solve for x
    x = 9,162.08/75.28
  6. Step 6: Final answer
    x = 121.70

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.