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Finding the Third Proportional to 519,490.50 and 777,144.75

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Solution

The third proportional to 519,490.50 and 777,144.75 is: 1,162,589.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,490.50 : 777,144.75 = 777,144.75 : x
  2. Step 2: Convert to fraction form
    519,490.50/777,144.75 = 777,144.75/x
  3. Step 3: Cross multiply
    519,490.50x = 777,144.75 × 777,144.75
  4. Step 4: Simplify right side
    519,490.50x = 603,953,962,452.56
  5. Step 5: Solve for x
    x = 603,953,962,452.56/519,490.50
  6. Step 6: Final answer
    x = 1,162,589.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.