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Finding the Third Proportional to 392,517 and 622,543.50

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Solution

The third proportional to 392,517 and 622,543.50 is: 987,372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,517 : 622,543.50 = 622,543.50 : x
  2. Step 2: Convert to fraction form
    392,517/622,543.50 = 622,543.50/x
  3. Step 3: Cross multiply
    392,517x = 622,543.50 × 622,543.50
  4. Step 4: Simplify right side
    392,517x = 387,560,409,392.25
  5. Step 5: Solve for x
    x = 387,560,409,392.25/392,517
  6. Step 6: Final answer
    x = 987,372.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.