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Finding the Third Proportional to 1,372.78 and 2,959.88

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Solution

The third proportional to 1,372.78 and 2,959.88 is: 6,381.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.78 : 2,959.88 = 2,959.88 : x
  2. Step 2: Convert to fraction form
    1,372.78/2,959.88 = 2,959.88/x
  3. Step 3: Cross multiply
    1,372.78x = 2,959.88 × 2,959.88
  4. Step 4: Simplify right side
    1,372.78x = 8,760,860.02
  5. Step 5: Solve for x
    x = 8,760,860.02/1,372.78
  6. Step 6: Final answer
    x = 6,381.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.