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Finding the Third Proportional to 394,404 and 643,959

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Solution

The third proportional to 394,404 and 643,959 is: 1,051,417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,404 : 643,959 = 643,959 : x
  2. Step 2: Convert to fraction form
    394,404/643,959 = 643,959/x
  3. Step 3: Cross multiply
    394,404x = 643,959 × 643,959
  4. Step 4: Simplify right side
    394,404x = 414,683,193,681
  5. Step 5: Solve for x
    x = 414,683,193,681/394,404
  6. Step 6: Final answer
    x = 1,051,417.31

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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.