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Finding the Third Proportional to 2,857.78 and 5,218.17

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Solution

The third proportional to 2,857.78 and 5,218.17 is: 9,528.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.78 : 5,218.17 = 5,218.17 : x
  2. Step 2: Convert to fraction form
    2,857.78/5,218.17 = 5,218.17/x
  3. Step 3: Cross multiply
    2,857.78x = 5,218.17 × 5,218.17
  4. Step 4: Simplify right side
    2,857.78x = 27,229,317.72
  5. Step 5: Solve for x
    x = 27,229,317.72/2,857.78
  6. Step 6: Final answer
    x = 9,528.13

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.