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Finding the Third Proportional to 640,849 and 1,383,021

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Solution

The third proportional to 640,849 and 1,383,021 is: 2,984,707.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,849 : 1,383,021 = 1,383,021 : x
  2. Step 2: Convert to fraction form
    640,849/1,383,021 = 1,383,021/x
  3. Step 3: Cross multiply
    640,849x = 1,383,021 × 1,383,021
  4. Step 4: Simplify right side
    640,849x = 1,912,747,086,441
  5. Step 5: Solve for x
    x = 1,912,747,086,441/640,849
  6. Step 6: Final answer
    x = 2,984,707.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.