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Finding the Third Proportional to 140,839.38 and 218,409.54

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Solution

The third proportional to 140,839.38 and 218,409.54 is: 338,703.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,839.38 : 218,409.54 = 218,409.54 : x
  2. Step 2: Convert to fraction form
    140,839.38/218,409.54 = 218,409.54/x
  3. Step 3: Cross multiply
    140,839.38x = 218,409.54 × 218,409.54
  4. Step 4: Simplify right side
    140,839.38x = 47,702,726,753.49
  5. Step 5: Solve for x
    x = 47,702,726,753.49/140,839.38
  6. Step 6: Final answer
    x = 338,703.04

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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.