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Finding the Third Proportional to 80.58 and 164.95

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Solution

The third proportional to 80.58 and 164.95 is: 337.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.58 : 164.95 = 164.95 : x
  2. Step 2: Convert to fraction form
    80.58/164.95 = 164.95/x
  3. Step 3: Cross multiply
    80.58x = 164.95 × 164.95
  4. Step 4: Simplify right side
    80.58x = 27,209.53
  5. Step 5: Solve for x
    x = 27,209.53/80.58
  6. Step 6: Final answer
    x = 337.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.