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Finding the Third Proportional to 108.47 and 158.92

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Solution

The third proportional to 108.47 and 158.92 is: 232.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.47 : 158.92 = 158.92 : x
  2. Step 2: Convert to fraction form
    108.47/158.92 = 158.92/x
  3. Step 3: Cross multiply
    108.47x = 158.92 × 158.92
  4. Step 4: Simplify right side
    108.47x = 25,253.99
  5. Step 5: Solve for x
    x = 25,253.99/108.47
  6. Step 6: Final answer
    x = 232.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.