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Finding the Third Proportional to 8,451 and 20,443.50

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Solution

The third proportional to 8,451 and 20,443.50 is: 49,454.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451 : 20,443.50 = 20,443.50 : x
  2. Step 2: Convert to fraction form
    8,451/20,443.50 = 20,443.50/x
  3. Step 3: Cross multiply
    8,451x = 20,443.50 × 20,443.50
  4. Step 4: Simplify right side
    8,451x = 417,936,692.25
  5. Step 5: Solve for x
    x = 417,936,692.25/8,451
  6. Step 6: Final answer
    x = 49,454.11

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.