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Finding the Third Proportional to 47.46 and 73.20

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Solution

The third proportional to 47.46 and 73.20 is: 112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.46 : 73.20 = 73.20 : x
  2. Step 2: Convert to fraction form
    47.46/73.20 = 73.20/x
  3. Step 3: Cross multiply
    47.46x = 73.20 × 73.20
  4. Step 4: Simplify right side
    47.46x = 5,357.55
  5. Step 5: Solve for x
    x = 5,357.55/47.46
  6. Step 6: Final answer
    x = 112.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.