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Finding the Third Proportional to 33.89 and 73.48

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Solution

The third proportional to 33.89 and 73.48 is: 159.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.89 : 73.48 = 73.48 : x
  2. Step 2: Convert to fraction form
    33.89/73.48 = 73.48/x
  3. Step 3: Cross multiply
    33.89x = 73.48 × 73.48
  4. Step 4: Simplify right side
    33.89x = 5,398.81
  5. Step 5: Solve for x
    x = 5,398.81/33.89
  6. Step 6: Final answer
    x = 159.30

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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.