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Finding the Third Proportional to 47.81 and 74.11

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Solution

The third proportional to 47.81 and 74.11 is: 114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.81 : 74.11 = 74.11 : x
  2. Step 2: Convert to fraction form
    47.81/74.11 = 74.11/x
  3. Step 3: Cross multiply
    47.81x = 74.11 × 74.11
  4. Step 4: Simplify right side
    47.81x = 5,492.20
  5. Step 5: Solve for x
    x = 5,492.20/47.81
  6. Step 6: Final answer
    x = 114.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.