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Finding the Third Proportional to 218,418.75 and 334,408.50

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Solution

The third proportional to 218,418.75 and 334,408.50 is: 511,993.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,418.75 : 334,408.50 = 334,408.50 : x
  2. Step 2: Convert to fraction form
    218,418.75/334,408.50 = 334,408.50/x
  3. Step 3: Cross multiply
    218,418.75x = 334,408.50 × 334,408.50
  4. Step 4: Simplify right side
    218,418.75x = 111,829,044,872.25
  5. Step 5: Solve for x
    x = 111,829,044,872.25/218,418.75
  6. Step 6: Final answer
    x = 511,993.80

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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.