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Finding the Third Proportional to 72.42 and 95.77

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Solution

The third proportional to 72.42 and 95.77 is: 126.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.42 : 95.77 = 95.77 : x
  2. Step 2: Convert to fraction form
    72.42/95.77 = 95.77/x
  3. Step 3: Cross multiply
    72.42x = 95.77 × 95.77
  4. Step 4: Simplify right side
    72.42x = 9,171.05
  5. Step 5: Solve for x
    x = 9,171.05/72.42
  6. Step 6: Final answer
    x = 126.63

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.