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Finding the Third Proportional to 126.39 and 188.80

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Solution

The third proportional to 126.39 and 188.80 is: 282.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.39 : 188.80 = 188.80 : x
  2. Step 2: Convert to fraction form
    126.39/188.80 = 188.80/x
  3. Step 3: Cross multiply
    126.39x = 188.80 × 188.80
  4. Step 4: Simplify right side
    126.39x = 35,644.26
  5. Step 5: Solve for x
    x = 35,644.26/126.39
  6. Step 6: Final answer
    x = 282.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.