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Finding the Third Proportional to 12,180.75 and 18,350.81

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Solution

The third proportional to 12,180.75 and 18,350.81 is: 27,646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.75 : 18,350.81 = 18,350.81 : x
  2. Step 2: Convert to fraction form
    12,180.75/18,350.81 = 18,350.81/x
  3. Step 3: Cross multiply
    12,180.75x = 18,350.81 × 18,350.81
  4. Step 4: Simplify right side
    12,180.75x = 336,752,319.41
  5. Step 5: Solve for x
    x = 336,752,319.41/12,180.75
  6. Step 6: Final answer
    x = 27,646.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.