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Finding the Third Proportional to 275,745.50 and 379,716.50

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Solution

The third proportional to 275,745.50 and 379,716.50 is: 522,890.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,745.50 : 379,716.50 = 379,716.50 : x
  2. Step 2: Convert to fraction form
    275,745.50/379,716.50 = 379,716.50/x
  3. Step 3: Cross multiply
    275,745.50x = 379,716.50 × 379,716.50
  4. Step 4: Simplify right side
    275,745.50x = 144,184,620,372.25
  5. Step 5: Solve for x
    x = 144,184,620,372.25/275,745.50
  6. Step 6: Final answer
    x = 522,890.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.