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Finding the Third Proportional to 120,649 and 259,999

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Solution

The third proportional to 120,649 and 259,999 is: 560,298.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,649 : 259,999 = 259,999 : x
  2. Step 2: Convert to fraction form
    120,649/259,999 = 259,999/x
  3. Step 3: Cross multiply
    120,649x = 259,999 × 259,999
  4. Step 4: Simplify right side
    120,649x = 67,599,480,001
  5. Step 5: Solve for x
    x = 67,599,480,001/120,649
  6. Step 6: Final answer
    x = 560,298.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.