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Finding the Third Proportional to 65.97 and 109.42

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Solution

The third proportional to 65.97 and 109.42 is: 181.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.97 : 109.42 = 109.42 : x
  2. Step 2: Convert to fraction form
    65.97/109.42 = 109.42/x
  3. Step 3: Cross multiply
    65.97x = 109.42 × 109.42
  4. Step 4: Simplify right side
    65.97x = 11,973.57
  5. Step 5: Solve for x
    x = 11,973.57/65.97
  6. Step 6: Final answer
    x = 181.50

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.