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Finding the Third Proportional to 394,375 and 643,911

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Solution

The third proportional to 394,375 and 643,911 is: 1,051,337.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,375 : 643,911 = 643,911 : x
  2. Step 2: Convert to fraction form
    394,375/643,911 = 643,911/x
  3. Step 3: Cross multiply
    394,375x = 643,911 × 643,911
  4. Step 4: Simplify right side
    394,375x = 414,621,375,921
  5. Step 5: Solve for x
    x = 414,621,375,921/394,375
  6. Step 6: Final answer
    x = 1,051,337.88

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.