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Finding the Third Proportional to 544.78 and 867.09

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Solution

The third proportional to 544.78 and 867.09 is: 1,380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.78 : 867.09 = 867.09 : x
  2. Step 2: Convert to fraction form
    544.78/867.09 = 867.09/x
  3. Step 3: Cross multiply
    544.78x = 867.09 × 867.09
  4. Step 4: Simplify right side
    544.78x = 751,851.57
  5. Step 5: Solve for x
    x = 751,851.57/544.78
  6. Step 6: Final answer
    x = 1,380.10

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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.