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Finding the Third Proportional to 120,919.50 and 251,649

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Solution

The third proportional to 120,919.50 and 251,649 is: 523,713.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,919.50 : 251,649 = 251,649 : x
  2. Step 2: Convert to fraction form
    120,919.50/251,649 = 251,649/x
  3. Step 3: Cross multiply
    120,919.50x = 251,649 × 251,649
  4. Step 4: Simplify right side
    120,919.50x = 63,327,219,201
  5. Step 5: Solve for x
    x = 63,327,219,201/120,919.50
  6. Step 6: Final answer
    x = 523,713.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.