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Finding the Third Proportional to 395,616 and 871,908

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Solution

The third proportional to 395,616 and 871,908 is: 1,921,619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,616 : 871,908 = 871,908 : x
  2. Step 2: Convert to fraction form
    395,616/871,908 = 871,908/x
  3. Step 3: Cross multiply
    395,616x = 871,908 × 871,908
  4. Step 4: Simplify right side
    395,616x = 760,223,560,464
  5. Step 5: Solve for x
    x = 760,223,560,464/395,616
  6. Step 6: Final answer
    x = 1,921,619.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.