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Finding the Third Proportional to 206,902.50 and 278,049

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Solution

The third proportional to 206,902.50 and 278,049 is: 373,660.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,902.50 : 278,049 = 278,049 : x
  2. Step 2: Convert to fraction form
    206,902.50/278,049 = 278,049/x
  3. Step 3: Cross multiply
    206,902.50x = 278,049 × 278,049
  4. Step 4: Simplify right side
    206,902.50x = 77,311,246,401
  5. Step 5: Solve for x
    x = 77,311,246,401/206,902.50
  6. Step 6: Final answer
    x = 373,660.28

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.