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Finding the Third Proportional to 79.76 and 175.18

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Solution

The third proportional to 79.76 and 175.18 is: 384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.76 : 175.18 = 175.18 : x
  2. Step 2: Convert to fraction form
    79.76/175.18 = 175.18/x
  3. Step 3: Cross multiply
    79.76x = 175.18 × 175.18
  4. Step 4: Simplify right side
    79.76x = 30,689.29
  5. Step 5: Solve for x
    x = 30,689.29/79.76
  6. Step 6: Final answer
    x = 384.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.