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Finding the Third Proportional to 206,243 and 447,479

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Solution

The third proportional to 206,243 and 447,479 is: 970,881.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,243 : 447,479 = 447,479 : x
  2. Step 2: Convert to fraction form
    206,243/447,479 = 447,479/x
  3. Step 3: Cross multiply
    206,243x = 447,479 × 447,479
  4. Step 4: Simplify right side
    206,243x = 200,237,455,441
  5. Step 5: Solve for x
    x = 200,237,455,441/206,243
  6. Step 6: Final answer
    x = 970,881.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.