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Finding the Third Proportional to 279,895.50 and 421,247.25

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Solution

The third proportional to 279,895.50 and 421,247.25 is: 633,983.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,895.50 : 421,247.25 = 421,247.25 : x
  2. Step 2: Convert to fraction form
    279,895.50/421,247.25 = 421,247.25/x
  3. Step 3: Cross multiply
    279,895.50x = 421,247.25 × 421,247.25
  4. Step 4: Simplify right side
    279,895.50x = 177,449,245,632.56
  5. Step 5: Solve for x
    x = 177,449,245,632.56/279,895.50
  6. Step 6: Final answer
    x = 633,983.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.