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Finding the Third Proportional to 405,704 and 871,188

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Solution

The third proportional to 405,704 and 871,188 is: 1,870,744.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,704 : 871,188 = 871,188 : x
  2. Step 2: Convert to fraction form
    405,704/871,188 = 871,188/x
  3. Step 3: Cross multiply
    405,704x = 871,188 × 871,188
  4. Step 4: Simplify right side
    405,704x = 758,968,531,344
  5. Step 5: Solve for x
    x = 758,968,531,344/405,704
  6. Step 6: Final answer
    x = 1,870,744.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.