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Finding the Third Proportional to 394,402 and 643,956

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Solution

The third proportional to 394,402 and 643,956 is: 1,051,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,402 : 643,956 = 643,956 : x
  2. Step 2: Convert to fraction form
    394,402/643,956 = 643,956/x
  3. Step 3: Cross multiply
    394,402x = 643,956 × 643,956
  4. Step 4: Simplify right side
    394,402x = 414,679,329,936
  5. Step 5: Solve for x
    x = 414,679,329,936/394,402
  6. Step 6: Final answer
    x = 1,051,412.85

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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.