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Finding the Third Proportional to 12,159.63 and 18,778.92

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Solution

The third proportional to 12,159.63 and 18,778.92 is: 29,001.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.63 : 18,778.92 = 18,778.92 : x
  2. Step 2: Convert to fraction form
    12,159.63/18,778.92 = 18,778.92/x
  3. Step 3: Cross multiply
    12,159.63x = 18,778.92 × 18,778.92
  4. Step 4: Simplify right side
    12,159.63x = 352,647,906.79
  5. Step 5: Solve for x
    x = 352,647,906.79/12,159.63
  6. Step 6: Final answer
    x = 29,001.53

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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.