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Finding the Third Proportional to 18,118 and 39,345

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Solution

The third proportional to 18,118 and 39,345 is: 85,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,118 : 39,345 = 39,345 : x
  2. Step 2: Convert to fraction form
    18,118/39,345 = 39,345/x
  3. Step 3: Cross multiply
    18,118x = 39,345 × 39,345
  4. Step 4: Simplify right side
    18,118x = 1,548,029,025
  5. Step 5: Solve for x
    x = 1,548,029,025/18,118
  6. Step 6: Final answer
    x = 85,441.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.