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Finding the Third Proportional to 140,039.25 and 215,250.38

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Solution

The third proportional to 140,039.25 and 215,250.38 is: 330,855.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,039.25 : 215,250.38 = 215,250.38 : x
  2. Step 2: Convert to fraction form
    140,039.25/215,250.38 = 215,250.38/x
  3. Step 3: Cross multiply
    140,039.25x = 215,250.38 × 215,250.38
  4. Step 4: Simplify right side
    140,039.25x = 46,332,723,937.64
  5. Step 5: Solve for x
    x = 46,332,723,937.64/140,039.25
  6. Step 6: Final answer
    x = 330,855.27

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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.