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Finding the Third Proportional to 118.18 and 177.98

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Solution

The third proportional to 118.18 and 177.98 is: 268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.18 : 177.98 = 177.98 : x
  2. Step 2: Convert to fraction form
    118.18/177.98 = 177.98/x
  3. Step 3: Cross multiply
    118.18x = 177.98 × 177.98
  4. Step 4: Simplify right side
    118.18x = 31,676.35
  5. Step 5: Solve for x
    x = 31,676.35/118.18
  6. Step 6: Final answer
    x = 268.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.