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Finding the Third Proportional to 2,283.19 and 5,449.78

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Solution

The third proportional to 2,283.19 and 5,449.78 is: 13,008.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.19 : 5,449.78 = 5,449.78 : x
  2. Step 2: Convert to fraction form
    2,283.19/5,449.78 = 5,449.78/x
  3. Step 3: Cross multiply
    2,283.19x = 5,449.78 × 5,449.78
  4. Step 4: Simplify right side
    2,283.19x = 29,700,115.67
  5. Step 5: Solve for x
    x = 29,700,115.67/2,283.19
  6. Step 6: Final answer
    x = 13,008.18

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.