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Finding the Third Proportional to 180.66 and 279.61

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Solution

The third proportional to 180.66 and 279.61 is: 432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.66 : 279.61 = 279.61 : x
  2. Step 2: Convert to fraction form
    180.66/279.61 = 279.61/x
  3. Step 3: Cross multiply
    180.66x = 279.61 × 279.61
  4. Step 4: Simplify right side
    180.66x = 78,181.40
  5. Step 5: Solve for x
    x = 78,181.40/180.66
  6. Step 6: Final answer
    x = 432.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.