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Finding the Third Proportional to 187.13 and 282.44

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Solution

The third proportional to 187.13 and 282.44 is: 426.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.13 : 282.44 = 282.44 : x
  2. Step 2: Convert to fraction form
    187.13/282.44 = 282.44/x
  3. Step 3: Cross multiply
    187.13x = 282.44 × 282.44
  4. Step 4: Simplify right side
    187.13x = 79,770.94
  5. Step 5: Solve for x
    x = 79,770.94/187.13
  6. Step 6: Final answer
    x = 426.30

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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.