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Finding the Third Proportional to 65.69 and 101.66

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Solution

The third proportional to 65.69 and 101.66 is: 157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.69 : 101.66 = 101.66 : x
  2. Step 2: Convert to fraction form
    65.69/101.66 = 101.66/x
  3. Step 3: Cross multiply
    65.69x = 101.66 × 101.66
  4. Step 4: Simplify right side
    65.69x = 10,333.99
  5. Step 5: Solve for x
    x = 10,333.99/65.69
  6. Step 6: Final answer
    x = 157.32

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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.