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Finding the Third Proportional to 4,209 and 8,861.75

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Solution

The third proportional to 4,209 and 8,861.75 is: 18,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209 : 8,861.75 = 8,861.75 : x
  2. Step 2: Convert to fraction form
    4,209/8,861.75 = 8,861.75/x
  3. Step 3: Cross multiply
    4,209x = 8,861.75 × 8,861.75
  4. Step 4: Simplify right side
    4,209x = 78,530,613.06
  5. Step 5: Solve for x
    x = 78,530,613.06/4,209
  6. Step 6: Final answer
    x = 18,657.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.