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Finding the Third Proportional to 389,508.75 and 582,706.50

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Solution

The third proportional to 389,508.75 and 582,706.50 is: 871,731.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,508.75 : 582,706.50 = 582,706.50 : x
  2. Step 2: Convert to fraction form
    389,508.75/582,706.50 = 582,706.50/x
  3. Step 3: Cross multiply
    389,508.75x = 582,706.50 × 582,706.50
  4. Step 4: Simplify right side
    389,508.75x = 339,546,865,142.25
  5. Step 5: Solve for x
    x = 339,546,865,142.25/389,508.75
  6. Step 6: Final answer
    x = 871,731.03

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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.