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Finding the Third Proportional to 725.84 and 1,108.37

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Solution

The third proportional to 725.84 and 1,108.37 is: 1,692.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.84 : 1,108.37 = 1,108.37 : x
  2. Step 2: Convert to fraction form
    725.84/1,108.37 = 1,108.37/x
  3. Step 3: Cross multiply
    725.84x = 1,108.37 × 1,108.37
  4. Step 4: Simplify right side
    725.84x = 1,228,486.48
  5. Step 5: Solve for x
    x = 1,228,486.48/725.84
  6. Step 6: Final answer
    x = 1,692.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.