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Finding the Third Proportional to 218,414.25 and 334,401.75

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Solution

The third proportional to 218,414.25 and 334,401.75 is: 511,983.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,414.25 : 334,401.75 = 334,401.75 : x
  2. Step 2: Convert to fraction form
    218,414.25/334,401.75 = 334,401.75/x
  3. Step 3: Cross multiply
    218,414.25x = 334,401.75 × 334,401.75
  4. Step 4: Simplify right side
    218,414.25x = 111,824,530,403.06
  5. Step 5: Solve for x
    x = 111,824,530,403.06/218,414.25
  6. Step 6: Final answer
    x = 511,983.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.