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Finding the Third Proportional to 206,176.50 and 319,241.25

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Solution

The third proportional to 206,176.50 and 319,241.25 is: 494,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,176.50 : 319,241.25 = 319,241.25 : x
  2. Step 2: Convert to fraction form
    206,176.50/319,241.25 = 319,241.25/x
  3. Step 3: Cross multiply
    206,176.50x = 319,241.25 × 319,241.25
  4. Step 4: Simplify right side
    206,176.50x = 101,914,975,701.56
  5. Step 5: Solve for x
    x = 101,914,975,701.56/206,176.50
  6. Step 6: Final answer
    x = 494,309.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.