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Finding the Third Proportional to 131.88 and 188.13

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Solution

The third proportional to 131.88 and 188.13 is: 268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.88 : 188.13 = 188.13 : x
  2. Step 2: Convert to fraction form
    131.88/188.13 = 188.13/x
  3. Step 3: Cross multiply
    131.88x = 188.13 × 188.13
  4. Step 4: Simplify right side
    131.88x = 35,391.02
  5. Step 5: Solve for x
    x = 35,391.02/131.88
  6. Step 6: Final answer
    x = 268.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.