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Finding the Third Proportional to 120,649.50 and 264,930.75

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Solution

The third proportional to 120,649.50 and 264,930.75 is: 581,753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,649.50 : 264,930.75 = 264,930.75 : x
  2. Step 2: Convert to fraction form
    120,649.50/264,930.75 = 264,930.75/x
  3. Step 3: Cross multiply
    120,649.50x = 264,930.75 × 264,930.75
  4. Step 4: Simplify right side
    120,649.50x = 70,188,302,295.56
  5. Step 5: Solve for x
    x = 70,188,302,295.56/120,649.50
  6. Step 6: Final answer
    x = 581,753.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.