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Finding the Third Proportional to 12,322.50 and 18,940.75

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Solution

The third proportional to 12,322.50 and 18,940.75 is: 29,113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.50 : 18,940.75 = 18,940.75 : x
  2. Step 2: Convert to fraction form
    12,322.50/18,940.75 = 18,940.75/x
  3. Step 3: Cross multiply
    12,322.50x = 18,940.75 × 18,940.75
  4. Step 4: Simplify right side
    12,322.50x = 358,752,010.56
  5. Step 5: Solve for x
    x = 358,752,010.56/12,322.50
  6. Step 6: Final answer
    x = 29,113.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.