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Finding the Third Proportional to 12,199.50 and 18,339.75

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Solution

The third proportional to 12,199.50 and 18,339.75 is: 27,570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.50 : 18,339.75 = 18,339.75 : x
  2. Step 2: Convert to fraction form
    12,199.50/18,339.75 = 18,339.75/x
  3. Step 3: Cross multiply
    12,199.50x = 18,339.75 × 18,339.75
  4. Step 4: Simplify right side
    12,199.50x = 336,346,430.06
  5. Step 5: Solve for x
    x = 336,346,430.06/12,199.50
  6. Step 6: Final answer
    x = 27,570.51

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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.