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Finding the Third Proportional to 73.69 and 158.91

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Solution

The third proportional to 73.69 and 158.91 is: 342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.69 : 158.91 = 158.91 : x
  2. Step 2: Convert to fraction form
    73.69/158.91 = 158.91/x
  3. Step 3: Cross multiply
    73.69x = 158.91 × 158.91
  4. Step 4: Simplify right side
    73.69x = 25,251.20
  5. Step 5: Solve for x
    x = 25,251.20/73.69
  6. Step 6: Final answer
    x = 342.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.