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Finding the Third Proportional to 86.48 and 134.05

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Solution

The third proportional to 86.48 and 134.05 is: 207.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.48 : 134.05 = 134.05 : x
  2. Step 2: Convert to fraction form
    86.48/134.05 = 134.05/x
  3. Step 3: Cross multiply
    86.48x = 134.05 × 134.05
  4. Step 4: Simplify right side
    86.48x = 17,969.61
  5. Step 5: Solve for x
    x = 17,969.61/86.48
  6. Step 6: Final answer
    x = 207.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.