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Finding the Third Proportional to 2,857.78 and 6,886.27

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Solution

The third proportional to 2,857.78 and 6,886.27 is: 16,593.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.78 : 6,886.27 = 6,886.27 : x
  2. Step 2: Convert to fraction form
    2,857.78/6,886.27 = 6,886.27/x
  3. Step 3: Cross multiply
    2,857.78x = 6,886.27 × 6,886.27
  4. Step 4: Simplify right side
    2,857.78x = 47,420,654.26
  5. Step 5: Solve for x
    x = 47,420,654.26/2,857.78
  6. Step 6: Final answer
    x = 16,593.52

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.