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Finding the Third Proportional to 49.13 and 77.38

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Solution

The third proportional to 49.13 and 77.38 is: 121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.13 : 77.38 = 77.38 : x
  2. Step 2: Convert to fraction form
    49.13/77.38 = 77.38/x
  3. Step 3: Cross multiply
    49.13x = 77.38 × 77.38
  4. Step 4: Simplify right side
    49.13x = 5,986.89
  5. Step 5: Solve for x
    x = 5,986.89/49.13
  6. Step 6: Final answer
    x = 121.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.