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Finding the Third Proportional to 84 and 179.88

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Solution

The third proportional to 84 and 179.88 is: 385.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84 : 179.88 = 179.88 : x
  2. Step 2: Convert to fraction form
    84/179.88 = 179.88/x
  3. Step 3: Cross multiply
    84x = 179.88 × 179.88
  4. Step 4: Simplify right side
    84x = 32,355.02
  5. Step 5: Solve for x
    x = 32,355.02/84
  6. Step 6: Final answer
    x = 385.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.