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Finding the Third Proportional to 389,610.75 and 582,847.88

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Solution

The third proportional to 389,610.75 and 582,847.88 is: 871,925.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,610.75 : 582,847.88 = 582,847.88 : x
  2. Step 2: Convert to fraction form
    389,610.75/582,847.88 = 582,847.88/x
  3. Step 3: Cross multiply
    389,610.75x = 582,847.88 × 582,847.88
  4. Step 4: Simplify right side
    389,610.75x = 339,711,645,392.02
  5. Step 5: Solve for x
    x = 339,711,645,392.02/389,610.75
  6. Step 6: Final answer
    x = 871,925.75

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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.