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Finding the Third Proportional to 2,731.78 and 4,177.97

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Solution

The third proportional to 2,731.78 and 4,177.97 is: 6,389.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.78 : 4,177.97 = 4,177.97 : x
  2. Step 2: Convert to fraction form
    2,731.78/4,177.97 = 4,177.97/x
  3. Step 3: Cross multiply
    2,731.78x = 4,177.97 × 4,177.97
  4. Step 4: Simplify right side
    2,731.78x = 17,455,422.88
  5. Step 5: Solve for x
    x = 17,455,422.88/2,731.78
  6. Step 6: Final answer
    x = 6,389.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.