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Finding the Third Proportional to 275,744.50 and 379,715.50

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Solution

The third proportional to 275,744.50 and 379,715.50 is: 522,889.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,744.50 : 379,715.50 = 379,715.50 : x
  2. Step 2: Convert to fraction form
    275,744.50/379,715.50 = 379,715.50/x
  3. Step 3: Cross multiply
    275,744.50x = 379,715.50 × 379,715.50
  4. Step 4: Simplify right side
    275,744.50x = 144,183,860,940.25
  5. Step 5: Solve for x
    x = 144,183,860,940.25/275,744.50
  6. Step 6: Final answer
    x = 522,889.34

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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.