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Finding the Third Proportional to 218,956 and 329,408

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Solution

The third proportional to 218,956 and 329,408 is: 495,577.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,956 : 329,408 = 329,408 : x
  2. Step 2: Convert to fraction form
    218,956/329,408 = 329,408/x
  3. Step 3: Cross multiply
    218,956x = 329,408 × 329,408
  4. Step 4: Simplify right side
    218,956x = 108,509,630,464
  5. Step 5: Solve for x
    x = 108,509,630,464/218,956
  6. Step 6: Final answer
    x = 495,577.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.