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Finding the Third Proportional to 544.25 and 867.25

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Solution

The third proportional to 544.25 and 867.25 is: 1,381.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.25 : 867.25 = 867.25 : x
  2. Step 2: Convert to fraction form
    544.25/867.25 = 867.25/x
  3. Step 3: Cross multiply
    544.25x = 867.25 × 867.25
  4. Step 4: Simplify right side
    544.25x = 752,122.56
  5. Step 5: Solve for x
    x = 752,122.56/544.25
  6. Step 6: Final answer
    x = 1,381.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.