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Finding the Third Proportional to 206,777 and 319,157

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Solution

The third proportional to 206,777 and 319,157 is: 492,613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,777 : 319,157 = 319,157 : x
  2. Step 2: Convert to fraction form
    206,777/319,157 = 319,157/x
  3. Step 3: Cross multiply
    206,777x = 319,157 × 319,157
  4. Step 4: Simplify right side
    206,777x = 101,861,190,649
  5. Step 5: Solve for x
    x = 101,861,190,649/206,777
  6. Step 6: Final answer
    x = 492,613.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.