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Finding the Third Proportional to 137,166.75 and 205,755.19

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Solution

The third proportional to 137,166.75 and 205,755.19 is: 308,640.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,166.75 : 205,755.19 = 205,755.19 : x
  2. Step 2: Convert to fraction form
    137,166.75/205,755.19 = 205,755.19/x
  3. Step 3: Cross multiply
    137,166.75x = 205,755.19 × 205,755.19
  4. Step 4: Simplify right side
    137,166.75x = 42,335,197,183.16
  5. Step 5: Solve for x
    x = 42,335,197,183.16/137,166.75
  6. Step 6: Final answer
    x = 308,640.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.