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Finding the Third Proportional to 187.68 and 258.11

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Solution

The third proportional to 187.68 and 258.11 is: 354.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.68 : 258.11 = 258.11 : x
  2. Step 2: Convert to fraction form
    187.68/258.11 = 258.11/x
  3. Step 3: Cross multiply
    187.68x = 258.11 × 258.11
  4. Step 4: Simplify right side
    187.68x = 66,619.95
  5. Step 5: Solve for x
    x = 66,619.95/187.68
  6. Step 6: Final answer
    x = 354.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.