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Finding the Third Proportional to 187.56 and 263.69

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Solution

The third proportional to 187.56 and 263.69 is: 370.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.56 : 263.69 = 263.69 : x
  2. Step 2: Convert to fraction form
    187.56/263.69 = 263.69/x
  3. Step 3: Cross multiply
    187.56x = 263.69 × 263.69
  4. Step 4: Simplify right side
    187.56x = 69,531.10
  5. Step 5: Solve for x
    x = 69,531.10/187.56
  6. Step 6: Final answer
    x = 370.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.