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Finding the Third Proportional to 315,940.50 and 409,866.75

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Solution

The third proportional to 315,940.50 and 409,866.75 is: 531,716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,940.50 : 409,866.75 = 409,866.75 : x
  2. Step 2: Convert to fraction form
    315,940.50/409,866.75 = 409,866.75/x
  3. Step 3: Cross multiply
    315,940.50x = 409,866.75 × 409,866.75
  4. Step 4: Simplify right side
    315,940.50x = 167,990,752,755.56
  5. Step 5: Solve for x
    x = 167,990,752,755.56/315,940.50
  6. Step 6: Final answer
    x = 531,716.42

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.