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Finding the Third Proportional to 394,398 and 643,950

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Solution

The third proportional to 394,398 and 643,950 is: 1,051,403.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,398 : 643,950 = 643,950 : x
  2. Step 2: Convert to fraction form
    394,398/643,950 = 643,950/x
  3. Step 3: Cross multiply
    394,398x = 643,950 × 643,950
  4. Step 4: Simplify right side
    394,398x = 414,671,602,500
  5. Step 5: Solve for x
    x = 414,671,602,500/394,398
  6. Step 6: Final answer
    x = 1,051,403.92

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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.