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Finding the Third Proportional to 1,209 and 3,286.50

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Solution

The third proportional to 1,209 and 3,286.50 is: 8,933.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209 : 3,286.50 = 3,286.50 : x
  2. Step 2: Convert to fraction form
    1,209/3,286.50 = 3,286.50/x
  3. Step 3: Cross multiply
    1,209x = 3,286.50 × 3,286.50
  4. Step 4: Simplify right side
    1,209x = 10,801,082.25
  5. Step 5: Solve for x
    x = 10,801,082.25/1,209
  6. Step 6: Final answer
    x = 8,933.90

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.