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Finding the Third Proportional to 400,806 and 600,105

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Solution

The third proportional to 400,806 and 600,105 is: 898,504.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,806 : 600,105 = 600,105 : x
  2. Step 2: Convert to fraction form
    400,806/600,105 = 600,105/x
  3. Step 3: Cross multiply
    400,806x = 600,105 × 600,105
  4. Step 4: Simplify right side
    400,806x = 360,126,011,025
  5. Step 5: Solve for x
    x = 360,126,011,025/400,806
  6. Step 6: Final answer
    x = 898,504.54

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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.