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Finding the Third Proportional to 120,868.25 and 261,824.50

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Solution

The third proportional to 120,868.25 and 261,824.50 is: 567,163.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,868.25 : 261,824.50 = 261,824.50 : x
  2. Step 2: Convert to fraction form
    120,868.25/261,824.50 = 261,824.50/x
  3. Step 3: Cross multiply
    120,868.25x = 261,824.50 × 261,824.50
  4. Step 4: Simplify right side
    120,868.25x = 68,552,068,800.25
  5. Step 5: Solve for x
    x = 68,552,068,800.25/120,868.25
  6. Step 6: Final answer
    x = 567,163.58

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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.