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Finding the Third Proportional to 187.52 and 387.11

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Solution

The third proportional to 187.52 and 387.11 is: 799.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.52 : 387.11 = 387.11 : x
  2. Step 2: Convert to fraction form
    187.52/387.11 = 387.11/x
  3. Step 3: Cross multiply
    187.52x = 387.11 × 387.11
  4. Step 4: Simplify right side
    187.52x = 149,850.64
  5. Step 5: Solve for x
    x = 149,850.64/187.52
  6. Step 6: Final answer
    x = 799.10

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.