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Finding the Third Proportional to 444.25 and 781.75

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Solution

The third proportional to 444.25 and 781.75 is: 1,375.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.25 : 781.75 = 781.75 : x
  2. Step 2: Convert to fraction form
    444.25/781.75 = 781.75/x
  3. Step 3: Cross multiply
    444.25x = 781.75 × 781.75
  4. Step 4: Simplify right side
    444.25x = 611,133.06
  5. Step 5: Solve for x
    x = 611,133.06/444.25
  6. Step 6: Final answer
    x = 1,375.65

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.