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Finding the Third Proportional to 544.13 and 1,185.94

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Solution

The third proportional to 544.13 and 1,185.94 is: 2,584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.13 : 1,185.94 = 1,185.94 : x
  2. Step 2: Convert to fraction form
    544.13/1,185.94 = 1,185.94/x
  3. Step 3: Cross multiply
    544.13x = 1,185.94 × 1,185.94
  4. Step 4: Simplify right side
    544.13x = 1,406,447.75
  5. Step 5: Solve for x
    x = 1,406,447.75/544.13
  6. Step 6: Final answer
    x = 2,584.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.