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Finding the Third Proportional to 8,140.50 and 12,218.34

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Solution

The third proportional to 8,140.50 and 12,218.34 is: 18,338.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.50 : 12,218.34 = 12,218.34 : x
  2. Step 2: Convert to fraction form
    8,140.50/12,218.34 = 12,218.34/x
  3. Step 3: Cross multiply
    8,140.50x = 12,218.34 × 12,218.34
  4. Step 4: Simplify right side
    8,140.50x = 149,287,923.99
  5. Step 5: Solve for x
    x = 149,287,923.99/8,140.50
  6. Step 6: Final answer
    x = 18,338.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.