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Finding the Third Proportional to 49.31 and 87.94

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Solution

The third proportional to 49.31 and 87.94 is: 156.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.31 : 87.94 = 87.94 : x
  2. Step 2: Convert to fraction form
    49.31/87.94 = 87.94/x
  3. Step 3: Cross multiply
    49.31x = 87.94 × 87.94
  4. Step 4: Simplify right side
    49.31x = 7,733.00
  5. Step 5: Solve for x
    x = 7,733.00/49.31
  6. Step 6: Final answer
    x = 156.82

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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.