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Finding the Third Proportional to 725.34 and 1,091.11

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Solution

The third proportional to 725.34 and 1,091.11 is: 1,641.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.34 : 1,091.11 = 1,091.11 : x
  2. Step 2: Convert to fraction form
    725.34/1,091.11 = 1,091.11/x
  3. Step 3: Cross multiply
    725.34x = 1,091.11 × 1,091.11
  4. Step 4: Simplify right side
    725.34x = 1,190,519.67
  5. Step 5: Solve for x
    x = 1,190,519.67/725.34
  6. Step 6: Final answer
    x = 1,641.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.