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Finding the Third Proportional to 86.88 and 135.63

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Solution

The third proportional to 86.88 and 135.63 is: 211.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.88 : 135.63 = 135.63 : x
  2. Step 2: Convert to fraction form
    86.88/135.63 = 135.63/x
  3. Step 3: Cross multiply
    86.88x = 135.63 × 135.63
  4. Step 4: Simplify right side
    86.88x = 18,394.14
  5. Step 5: Solve for x
    x = 18,394.14/86.88
  6. Step 6: Final answer
    x = 211.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.