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Finding the Third Proportional to 233,208 and 494,441.25

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Solution

The third proportional to 233,208 and 494,441.25 is: 1,048,300.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,208 : 494,441.25 = 494,441.25 : x
  2. Step 2: Convert to fraction form
    233,208/494,441.25 = 494,441.25/x
  3. Step 3: Cross multiply
    233,208x = 494,441.25 × 494,441.25
  4. Step 4: Simplify right side
    233,208x = 244,472,149,701.56
  5. Step 5: Solve for x
    x = 244,472,149,701.56/233,208
  6. Step 6: Final answer
    x = 1,048,300.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.