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Finding the Third Proportional to 3,612.88 and 5,419.41

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Solution

The third proportional to 3,612.88 and 5,419.41 is: 8,129.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.88 : 5,419.41 = 5,419.41 : x
  2. Step 2: Convert to fraction form
    3,612.88/5,419.41 = 5,419.41/x
  3. Step 3: Cross multiply
    3,612.88x = 5,419.41 × 5,419.41
  4. Step 4: Simplify right side
    3,612.88x = 29,369,964.10
  5. Step 5: Solve for x
    x = 29,369,964.10/3,612.88
  6. Step 6: Final answer
    x = 8,129.23

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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.