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Finding the Third Proportional to 49.13 and 75.38

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Solution

The third proportional to 49.13 and 75.38 is: 115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.13 : 75.38 = 75.38 : x
  2. Step 2: Convert to fraction form
    49.13/75.38 = 75.38/x
  3. Step 3: Cross multiply
    49.13x = 75.38 × 75.38
  4. Step 4: Simplify right side
    49.13x = 5,681.39
  5. Step 5: Solve for x
    x = 5,681.39/49.13
  6. Step 6: Final answer
    x = 115.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.