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Finding the Third Proportional to 2,419.13 and 3,619.31

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Solution

The third proportional to 2,419.13 and 3,619.31 is: 5,414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.13 : 3,619.31 = 3,619.31 : x
  2. Step 2: Convert to fraction form
    2,419.13/3,619.31 = 3,619.31/x
  3. Step 3: Cross multiply
    2,419.13x = 3,619.31 × 3,619.31
  4. Step 4: Simplify right side
    2,419.13x = 13,099,422.97
  5. Step 5: Solve for x
    x = 13,099,422.97/2,419.13
  6. Step 6: Final answer
    x = 5,414.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.