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Finding the Third Proportional to 187.13 and 243.19

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Solution

The third proportional to 187.13 and 243.19 is: 316.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.13 : 243.19 = 243.19 : x
  2. Step 2: Convert to fraction form
    187.13/243.19 = 243.19/x
  3. Step 3: Cross multiply
    187.13x = 243.19 × 243.19
  4. Step 4: Simplify right side
    187.13x = 59,140.16
  5. Step 5: Solve for x
    x = 59,140.16/187.13
  6. Step 6: Final answer
    x = 316.05

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.