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Finding the Third Proportional to 2,539 and 5,147.75

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Solution

The third proportional to 2,539 and 5,147.75 is: 10,436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539 : 5,147.75 = 5,147.75 : x
  2. Step 2: Convert to fraction form
    2,539/5,147.75 = 5,147.75/x
  3. Step 3: Cross multiply
    2,539x = 5,147.75 × 5,147.75
  4. Step 4: Simplify right side
    2,539x = 26,499,330.06
  5. Step 5: Solve for x
    x = 26,499,330.06/2,539
  6. Step 6: Final answer
    x = 10,436.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.