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Finding the Third Proportional to 65.42 and 132.84

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Solution

The third proportional to 65.42 and 132.84 is: 269.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.42 : 132.84 = 132.84 : x
  2. Step 2: Convert to fraction form
    65.42/132.84 = 132.84/x
  3. Step 3: Cross multiply
    65.42x = 132.84 × 132.84
  4. Step 4: Simplify right side
    65.42x = 17,647.46
  5. Step 5: Solve for x
    x = 17,647.46/65.42
  6. Step 6: Final answer
    x = 269.75

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.