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Finding the Third Proportional to 47.71 and 102.76

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Solution

The third proportional to 47.71 and 102.76 is: 221.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.71 : 102.76 = 102.76 : x
  2. Step 2: Convert to fraction form
    47.71/102.76 = 102.76/x
  3. Step 3: Cross multiply
    47.71x = 102.76 × 102.76
  4. Step 4: Simplify right side
    47.71x = 10,559.97
  5. Step 5: Solve for x
    x = 10,559.97/47.71
  6. Step 6: Final answer
    x = 221.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.