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Finding the Third Proportional to 299,651 and 643,771

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Solution

The third proportional to 299,651 and 643,771 is: 1,383,079.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,651 : 643,771 = 643,771 : x
  2. Step 2: Convert to fraction form
    299,651/643,771 = 643,771/x
  3. Step 3: Cross multiply
    299,651x = 643,771 × 643,771
  4. Step 4: Simplify right side
    299,651x = 414,441,100,441
  5. Step 5: Solve for x
    x = 414,441,100,441/299,651
  6. Step 6: Final answer
    x = 1,383,079.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.