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Finding the Third Proportional to 16,906.50 and 39,138.75

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Solution

The third proportional to 16,906.50 and 39,138.75 is: 90,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,906.50 : 39,138.75 = 39,138.75 : x
  2. Step 2: Convert to fraction form
    16,906.50/39,138.75 = 39,138.75/x
  3. Step 3: Cross multiply
    16,906.50x = 39,138.75 × 39,138.75
  4. Step 4: Simplify right side
    16,906.50x = 1,531,841,751.56
  5. Step 5: Solve for x
    x = 1,531,841,751.56/16,906.50
  6. Step 6: Final answer
    x = 90,606.68

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.