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Finding the Third Proportional to 389,624.50 and 582,868.75

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Solution

The third proportional to 389,624.50 and 582,868.75 is: 871,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,624.50 : 582,868.75 = 582,868.75 : x
  2. Step 2: Convert to fraction form
    389,624.50/582,868.75 = 582,868.75/x
  3. Step 3: Cross multiply
    389,624.50x = 582,868.75 × 582,868.75
  4. Step 4: Simplify right side
    389,624.50x = 339,735,979,726.56
  5. Step 5: Solve for x
    x = 339,735,979,726.56/389,624.50
  6. Step 6: Final answer
    x = 871,957.44

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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.