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Finding the Third Proportional to 406,530 and 603,906

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Solution

The third proportional to 406,530 and 603,906 is: 897,110.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,530 : 603,906 = 603,906 : x
  2. Step 2: Convert to fraction form
    406,530/603,906 = 603,906/x
  3. Step 3: Cross multiply
    406,530x = 603,906 × 603,906
  4. Step 4: Simplify right side
    406,530x = 364,702,456,836
  5. Step 5: Solve for x
    x = 364,702,456,836/406,530
  6. Step 6: Final answer
    x = 897,110.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.