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Finding the Third Proportional to 418,956.75 and 628,296.75

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Solution

The third proportional to 418,956.75 and 628,296.75 is: 942,237.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,956.75 : 628,296.75 = 628,296.75 : x
  2. Step 2: Convert to fraction form
    418,956.75/628,296.75 = 628,296.75/x
  3. Step 3: Cross multiply
    418,956.75x = 628,296.75 × 628,296.75
  4. Step 4: Simplify right side
    418,956.75x = 394,756,806,060.56
  5. Step 5: Solve for x
    x = 394,756,806,060.56/418,956.75
  6. Step 6: Final answer
    x = 942,237.61

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Why These Related Problems?

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