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Finding the Third Proportional to 47.74 and 129.80

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Solution

The third proportional to 47.74 and 129.80 is: 352.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.74 : 129.80 = 129.80 : x
  2. Step 2: Convert to fraction form
    47.74/129.80 = 129.80/x
  3. Step 3: Cross multiply
    47.74x = 129.80 × 129.80
  4. Step 4: Simplify right side
    47.74x = 16,847.23
  5. Step 5: Solve for x
    x = 16,847.23/47.74
  6. Step 6: Final answer
    x = 352.88

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.