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Finding the Third Proportional to 8,409 and 18,459

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Solution

The third proportional to 8,409 and 18,459 is: 40,520.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409 : 18,459 = 18,459 : x
  2. Step 2: Convert to fraction form
    8,409/18,459 = 18,459/x
  3. Step 3: Cross multiply
    8,409x = 18,459 × 18,459
  4. Step 4: Simplify right side
    8,409x = 340,734,681
  5. Step 5: Solve for x
    x = 340,734,681/8,409
  6. Step 6: Final answer
    x = 40,520.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.