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Finding the Third Proportional to 8,709.75 and 20,508.75

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Solution

The third proportional to 8,709.75 and 20,508.75 is: 48,291.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.75 : 20,508.75 = 20,508.75 : x
  2. Step 2: Convert to fraction form
    8,709.75/20,508.75 = 20,508.75/x
  3. Step 3: Cross multiply
    8,709.75x = 20,508.75 × 20,508.75
  4. Step 4: Simplify right side
    8,709.75x = 420,608,826.56
  5. Step 5: Solve for x
    x = 420,608,826.56/8,709.75
  6. Step 6: Final answer
    x = 48,291.72

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.