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Finding the Third Proportional to 407,930 and 871,912

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Solution

The third proportional to 407,930 and 871,912 is: 1,863,629.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,930 : 871,912 = 871,912 : x
  2. Step 2: Convert to fraction form
    407,930/871,912 = 871,912/x
  3. Step 3: Cross multiply
    407,930x = 871,912 × 871,912
  4. Step 4: Simplify right side
    407,930x = 760,230,535,744
  5. Step 5: Solve for x
    x = 760,230,535,744/407,930
  6. Step 6: Final answer
    x = 1,863,629.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.