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Finding the Third Proportional to 389,512.97 and 582,713.16

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Solution

The third proportional to 389,512.97 and 582,713.16 is: 871,741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,512.97 : 582,713.16 = 582,713.16 : x
  2. Step 2: Convert to fraction form
    389,512.97/582,713.16 = 582,713.16/x
  3. Step 3: Cross multiply
    389,512.97x = 582,713.16 × 582,713.16
  4. Step 4: Simplify right side
    389,512.97x = 339,554,622,466.84
  5. Step 5: Solve for x
    x = 339,554,622,466.84/389,512.97
  6. Step 6: Final answer
    x = 871,741.51

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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.