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Finding the Third Proportional to 400,802 and 600,099

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Solution

The third proportional to 400,802 and 600,099 is: 898,495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,802 : 600,099 = 600,099 : x
  2. Step 2: Convert to fraction form
    400,802/600,099 = 600,099/x
  3. Step 3: Cross multiply
    400,802x = 600,099 × 600,099
  4. Step 4: Simplify right side
    400,802x = 360,118,809,801
  5. Step 5: Solve for x
    x = 360,118,809,801/400,802
  6. Step 6: Final answer
    x = 898,495.54

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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.