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Finding the Third Proportional to 239,085 and 520,229.25

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Solution

The third proportional to 239,085 and 520,229.25 is: 1,131,975.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,085 : 520,229.25 = 520,229.25 : x
  2. Step 2: Convert to fraction form
    239,085/520,229.25 = 520,229.25/x
  3. Step 3: Cross multiply
    239,085x = 520,229.25 × 520,229.25
  4. Step 4: Simplify right side
    239,085x = 270,638,472,555.56
  5. Step 5: Solve for x
    x = 270,638,472,555.56/239,085
  6. Step 6: Final answer
    x = 1,131,975.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.