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Finding the Third Proportional to 206,508 and 424,132.50

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Solution

The third proportional to 206,508 and 424,132.50 is: 871,096.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,508 : 424,132.50 = 424,132.50 : x
  2. Step 2: Convert to fraction form
    206,508/424,132.50 = 424,132.50/x
  3. Step 3: Cross multiply
    206,508x = 424,132.50 × 424,132.50
  4. Step 4: Simplify right side
    206,508x = 179,888,377,556.25
  5. Step 5: Solve for x
    x = 179,888,377,556.25/206,508
  6. Step 6: Final answer
    x = 871,096.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.