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Finding the Third Proportional to 120,868.50 and 261,825

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Solution

The third proportional to 120,868.50 and 261,825 is: 567,164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,868.50 : 261,825 = 261,825 : x
  2. Step 2: Convert to fraction form
    120,868.50/261,825 = 261,825/x
  3. Step 3: Cross multiply
    120,868.50x = 261,825 × 261,825
  4. Step 4: Simplify right side
    120,868.50x = 68,552,330,625
  5. Step 5: Solve for x
    x = 68,552,330,625/120,868.50
  6. Step 6: Final answer
    x = 567,164.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.