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Finding the Third Proportional to 140,961.38 and 218,171.81

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Solution

The third proportional to 140,961.38 and 218,171.81 is: 337,673.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,961.38 : 218,171.81 = 218,171.81 : x
  2. Step 2: Convert to fraction form
    140,961.38/218,171.81 = 218,171.81/x
  3. Step 3: Cross multiply
    140,961.38x = 218,171.81 × 218,171.81
  4. Step 4: Simplify right side
    140,961.38x = 47,598,939,769.54
  5. Step 5: Solve for x
    x = 47,598,939,769.54/140,961.38
  6. Step 6: Final answer
    x = 337,673.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.