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Finding the Third Proportional to 392,640.75 and 622,738.50

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Solution

The third proportional to 392,640.75 and 622,738.50 is: 987,679.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,640.75 : 622,738.50 = 622,738.50 : x
  2. Step 2: Convert to fraction form
    392,640.75/622,738.50 = 622,738.50/x
  3. Step 3: Cross multiply
    392,640.75x = 622,738.50 × 622,738.50
  4. Step 4: Simplify right side
    392,640.75x = 387,803,239,382.25
  5. Step 5: Solve for x
    x = 387,803,239,382.25/392,640.75
  6. Step 6: Final answer
    x = 987,679.55

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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.