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Finding the Third Proportional to 8,661 and 18,617.50

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Solution

The third proportional to 8,661 and 18,617.50 is: 40,019.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661 : 18,617.50 = 18,617.50 : x
  2. Step 2: Convert to fraction form
    8,661/18,617.50 = 18,617.50/x
  3. Step 3: Cross multiply
    8,661x = 18,617.50 × 18,617.50
  4. Step 4: Simplify right side
    8,661x = 346,611,306.25
  5. Step 5: Solve for x
    x = 346,611,306.25/8,661
  6. Step 6: Final answer
    x = 40,019.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.