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Finding the Third Proportional to 2,208.75 and 5,107.88

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Solution

The third proportional to 2,208.75 and 5,107.88 is: 11,812.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.75 : 5,107.88 = 5,107.88 : x
  2. Step 2: Convert to fraction form
    2,208.75/5,107.88 = 5,107.88/x
  3. Step 3: Cross multiply
    2,208.75x = 5,107.88 × 5,107.88
  4. Step 4: Simplify right side
    2,208.75x = 26,090,387.02
  5. Step 5: Solve for x
    x = 26,090,387.02/2,208.75
  6. Step 6: Final answer
    x = 11,812.29

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.