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Finding the Third Proportional to 69.42 and 105.63

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Solution

The third proportional to 69.42 and 105.63 is: 160.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.42 : 105.63 = 105.63 : x
  2. Step 2: Convert to fraction form
    69.42/105.63 = 105.63/x
  3. Step 3: Cross multiply
    69.42x = 105.63 × 105.63
  4. Step 4: Simplify right side
    69.42x = 11,158.29
  5. Step 5: Solve for x
    x = 11,158.29/69.42
  6. Step 6: Final answer
    x = 160.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.