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Finding the Third Proportional to 73.39 and 159.53

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Solution

The third proportional to 73.39 and 159.53 is: 346.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.39 : 159.53 = 159.53 : x
  2. Step 2: Convert to fraction form
    73.39/159.53 = 159.53/x
  3. Step 3: Cross multiply
    73.39x = 159.53 × 159.53
  4. Step 4: Simplify right side
    73.39x = 25,449.21
  5. Step 5: Solve for x
    x = 25,449.21/73.39
  6. Step 6: Final answer
    x = 346.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.