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Finding the Third Proportional to 206,622 and 319,284

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Solution

The third proportional to 206,622 and 319,284 is: 493,375.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,622 : 319,284 = 319,284 : x
  2. Step 2: Convert to fraction form
    206,622/319,284 = 319,284/x
  3. Step 3: Cross multiply
    206,622x = 319,284 × 319,284
  4. Step 4: Simplify right side
    206,622x = 101,942,272,656
  5. Step 5: Solve for x
    x = 101,942,272,656/206,622
  6. Step 6: Final answer
    x = 493,375.69

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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.