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Finding the Third Proportional to 206,272 and 439,520

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Solution

The third proportional to 206,272 and 439,520 is: 936,519.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,272 : 439,520 = 439,520 : x
  2. Step 2: Convert to fraction form
    206,272/439,520 = 439,520/x
  3. Step 3: Cross multiply
    206,272x = 439,520 × 439,520
  4. Step 4: Simplify right side
    206,272x = 193,177,830,400
  5. Step 5: Solve for x
    x = 193,177,830,400/206,272
  6. Step 6: Final answer
    x = 936,519.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.