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Finding the Third Proportional to 383,989.50 and 529,321.50

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Solution

The third proportional to 383,989.50 and 529,321.50 is: 729,658.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,989.50 : 529,321.50 = 529,321.50 : x
  2. Step 2: Convert to fraction form
    383,989.50/529,321.50 = 529,321.50/x
  3. Step 3: Cross multiply
    383,989.50x = 529,321.50 × 529,321.50
  4. Step 4: Simplify right side
    383,989.50x = 280,181,250,362.25
  5. Step 5: Solve for x
    x = 280,181,250,362.25/383,989.50
  6. Step 6: Final answer
    x = 729,658.62

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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.