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Finding the Third Proportional to 81 and 179.72

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Solution

The third proportional to 81 and 179.72 is: 398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81 : 179.72 = 179.72 : x
  2. Step 2: Convert to fraction form
    81/179.72 = 179.72/x
  3. Step 3: Cross multiply
    81x = 179.72 × 179.72
  4. Step 4: Simplify right side
    81x = 32,298.83
  5. Step 5: Solve for x
    x = 32,298.83/81
  6. Step 6: Final answer
    x = 398.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.