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Finding the Third Proportional to 389,611.13 and 582,847.31

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Solution

The third proportional to 389,611.13 and 582,847.31 is: 871,923.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,611.13 : 582,847.31 = 582,847.31 : x
  2. Step 2: Convert to fraction form
    389,611.13/582,847.31 = 582,847.31/x
  3. Step 3: Cross multiply
    389,611.13x = 582,847.31 × 582,847.31
  4. Step 4: Simplify right side
    389,611.13x = 339,710,989,688.47
  5. Step 5: Solve for x
    x = 339,710,989,688.47/389,611.13
  6. Step 6: Final answer
    x = 871,923.23

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