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Finding the Third Proportional to 389,506.13 and 582,702.38

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Solution

The third proportional to 389,506.13 and 582,702.38 is: 871,724.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,506.13 : 582,702.38 = 582,702.38 : x
  2. Step 2: Convert to fraction form
    389,506.13/582,702.38 = 582,702.38/x
  3. Step 3: Cross multiply
    389,506.13x = 582,702.38 × 582,702.38
  4. Step 4: Simplify right side
    389,506.13x = 339,542,057,830.64
  5. Step 5: Solve for x
    x = 339,542,057,830.64/389,506.13
  6. Step 6: Final answer
    x = 871,724.57

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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.