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Finding the Third Proportional to 418,960 and 628,302

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Solution

The third proportional to 418,960 and 628,302 is: 942,246.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,960 : 628,302 = 628,302 : x
  2. Step 2: Convert to fraction form
    418,960/628,302 = 628,302/x
  3. Step 3: Cross multiply
    418,960x = 628,302 × 628,302
  4. Step 4: Simplify right side
    418,960x = 394,763,403,204
  5. Step 5: Solve for x
    x = 394,763,403,204/418,960
  6. Step 6: Final answer
    x = 942,246.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.