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Finding the Third Proportional to 47.13 and 61.75

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Solution

The third proportional to 47.13 and 61.75 is: 80.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.13 : 61.75 = 61.75 : x
  2. Step 2: Convert to fraction form
    47.13/61.75 = 61.75/x
  3. Step 3: Cross multiply
    47.13x = 61.75 × 61.75
  4. Step 4: Simplify right side
    47.13x = 3,813.06
  5. Step 5: Solve for x
    x = 3,813.06/47.13
  6. Step 6: Final answer
    x = 80.91

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.