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Finding the Third Proportional to 206,469 and 319,091

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Solution

The third proportional to 206,469 and 319,091 is: 493,144.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,469 : 319,091 = 319,091 : x
  2. Step 2: Convert to fraction form
    206,469/319,091 = 319,091/x
  3. Step 3: Cross multiply
    206,469x = 319,091 × 319,091
  4. Step 4: Simplify right side
    206,469x = 101,819,066,281
  5. Step 5: Solve for x
    x = 101,819,066,281/206,469
  6. Step 6: Final answer
    x = 493,144.57

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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.