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Finding the Third Proportional to 392,751 and 622,903.50

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Solution

The third proportional to 392,751 and 622,903.50 is: 987,925.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,751 : 622,903.50 = 622,903.50 : x
  2. Step 2: Convert to fraction form
    392,751/622,903.50 = 622,903.50/x
  3. Step 3: Cross multiply
    392,751x = 622,903.50 × 622,903.50
  4. Step 4: Simplify right side
    392,751x = 388,008,770,312.25
  5. Step 5: Solve for x
    x = 388,008,770,312.25/392,751
  6. Step 6: Final answer
    x = 987,925.61

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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.