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Finding the Third Proportional to 1,149.47 and 1,724.21

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Solution

The third proportional to 1,149.47 and 1,724.21 is: 2,586.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.47 : 1,724.21 = 1,724.21 : x
  2. Step 2: Convert to fraction form
    1,149.47/1,724.21 = 1,724.21/x
  3. Step 3: Cross multiply
    1,149.47x = 1,724.21 × 1,724.21
  4. Step 4: Simplify right side
    1,149.47x = 2,972,890.45
  5. Step 5: Solve for x
    x = 2,972,890.45/1,149.47
  6. Step 6: Final answer
    x = 2,586.31

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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.