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Finding the Third Proportional to 65.50 and 135.11

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Solution

The third proportional to 65.50 and 135.11 is: 278.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.50 : 135.11 = 135.11 : x
  2. Step 2: Convert to fraction form
    65.50/135.11 = 135.11/x
  3. Step 3: Cross multiply
    65.50x = 135.11 × 135.11
  4. Step 4: Simplify right side
    65.50x = 18,253.49
  5. Step 5: Solve for x
    x = 18,253.49/65.50
  6. Step 6: Final answer
    x = 278.70

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.