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Finding the Third Proportional to 393,917 and 573,649

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Solution

The third proportional to 393,917 and 573,649 is: 835,387.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,917 : 573,649 = 573,649 : x
  2. Step 2: Convert to fraction form
    393,917/573,649 = 573,649/x
  3. Step 3: Cross multiply
    393,917x = 573,649 × 573,649
  4. Step 4: Simplify right side
    393,917x = 329,073,175,201
  5. Step 5: Solve for x
    x = 329,073,175,201/393,917
  6. Step 6: Final answer
    x = 835,387.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.