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Finding the Third Proportional to 4,469 and 8,209

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Solution

The third proportional to 4,469 and 8,209 is: 15,078.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469 : 8,209 = 8,209 : x
  2. Step 2: Convert to fraction form
    4,469/8,209 = 8,209/x
  3. Step 3: Cross multiply
    4,469x = 8,209 × 8,209
  4. Step 4: Simplify right side
    4,469x = 67,387,681
  5. Step 5: Solve for x
    x = 67,387,681/4,469
  6. Step 6: Final answer
    x = 15,078.92

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.