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Finding the Third Proportional to 8,219.40 and 12,458.85

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Solution

The third proportional to 8,219.40 and 12,458.85 is: 18,884.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.40 : 12,458.85 = 12,458.85 : x
  2. Step 2: Convert to fraction form
    8,219.40/12,458.85 = 12,458.85/x
  3. Step 3: Cross multiply
    8,219.40x = 12,458.85 × 12,458.85
  4. Step 4: Simplify right side
    8,219.40x = 155,222,994.42
  5. Step 5: Solve for x
    x = 155,222,994.42/8,219.40
  6. Step 6: Final answer
    x = 18,884.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.