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Finding the Third Proportional to 8,272.88 and 15,708.75

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Solution

The third proportional to 8,272.88 and 15,708.75 is: 29,828.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.88 : 15,708.75 = 15,708.75 : x
  2. Step 2: Convert to fraction form
    8,272.88/15,708.75 = 15,708.75/x
  3. Step 3: Cross multiply
    8,272.88x = 15,708.75 × 15,708.75
  4. Step 4: Simplify right side
    8,272.88x = 246,764,826.56
  5. Step 5: Solve for x
    x = 246,764,826.56/8,272.88
  6. Step 6: Final answer
    x = 29,828.18

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.