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Finding the Third Proportional to 206,649 and 438,097

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Solution

The third proportional to 206,649 and 438,097 is: 928,768.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,649 : 438,097 = 438,097 : x
  2. Step 2: Convert to fraction form
    206,649/438,097 = 438,097/x
  3. Step 3: Cross multiply
    206,649x = 438,097 × 438,097
  4. Step 4: Simplify right side
    206,649x = 191,928,981,409
  5. Step 5: Solve for x
    x = 191,928,981,409/206,649
  6. Step 6: Final answer
    x = 928,768.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.