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Finding the Third Proportional to 49.13 and 61.88

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Solution

The third proportional to 49.13 and 61.88 is: 77.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.13 : 61.88 = 61.88 : x
  2. Step 2: Convert to fraction form
    49.13/61.88 = 61.88/x
  3. Step 3: Cross multiply
    49.13x = 61.88 × 61.88
  4. Step 4: Simplify right side
    49.13x = 3,828.52
  5. Step 5: Solve for x
    x = 3,828.52/49.13
  6. Step 6: Final answer
    x = 77.93

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.