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Finding the Third Proportional to 47.81 and 85.03

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Solution

The third proportional to 47.81 and 85.03 is: 151.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.81 : 85.03 = 85.03 : x
  2. Step 2: Convert to fraction form
    47.81/85.03 = 85.03/x
  3. Step 3: Cross multiply
    47.81x = 85.03 × 85.03
  4. Step 4: Simplify right side
    47.81x = 7,230.31
  5. Step 5: Solve for x
    x = 7,230.31/47.81
  6. Step 6: Final answer
    x = 151.22

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.