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Finding the Third Proportional to 339.75 and 724.25

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Solution

The third proportional to 339.75 and 724.25 is: 1,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.75 : 724.25 = 724.25 : x
  2. Step 2: Convert to fraction form
    339.75/724.25 = 724.25/x
  3. Step 3: Cross multiply
    339.75x = 724.25 × 724.25
  4. Step 4: Simplify right side
    339.75x = 524,538.06
  5. Step 5: Solve for x
    x = 524,538.06/339.75
  6. Step 6: Final answer
    x = 1,543.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.