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Finding the Third Proportional to 86.95 and 135.41

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Solution

The third proportional to 86.95 and 135.41 is: 210.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.95 : 135.41 = 135.41 : x
  2. Step 2: Convert to fraction form
    86.95/135.41 = 135.41/x
  3. Step 3: Cross multiply
    86.95x = 135.41 × 135.41
  4. Step 4: Simplify right side
    86.95x = 18,335.91
  5. Step 5: Solve for x
    x = 18,335.91/86.95
  6. Step 6: Final answer
    x = 210.88

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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.