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Finding the Third Proportional to 725.13 and 1,580.44

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Solution

The third proportional to 725.13 and 1,580.44 is: 3,444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.13 : 1,580.44 = 1,580.44 : x
  2. Step 2: Convert to fraction form
    725.13/1,580.44 = 1,580.44/x
  3. Step 3: Cross multiply
    725.13x = 1,580.44 × 1,580.44
  4. Step 4: Simplify right side
    725.13x = 2,497,782.69
  5. Step 5: Solve for x
    x = 2,497,782.69/725.13
  6. Step 6: Final answer
    x = 3,444.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.