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Finding the Third Proportional to 125.72 and 188.47

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Solution

The third proportional to 125.72 and 188.47 is: 282.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.72 : 188.47 = 188.47 : x
  2. Step 2: Convert to fraction form
    125.72/188.47 = 188.47/x
  3. Step 3: Cross multiply
    125.72x = 188.47 × 188.47
  4. Step 4: Simplify right side
    125.72x = 35,521.94
  5. Step 5: Solve for x
    x = 35,521.94/125.72
  6. Step 6: Final answer
    x = 282.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.