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Finding the Third Proportional to 18,193.78 and 27,178.31

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Solution

The third proportional to 18,193.78 and 27,178.31 is: 40,599.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,193.78 : 27,178.31 = 27,178.31 : x
  2. Step 2: Convert to fraction form
    18,193.78/27,178.31 = 27,178.31/x
  3. Step 3: Cross multiply
    18,193.78x = 27,178.31 × 27,178.31
  4. Step 4: Simplify right side
    18,193.78x = 738,660,670.35
  5. Step 5: Solve for x
    x = 738,660,670.35/18,193.78
  6. Step 6: Final answer
    x = 40,599.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.