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Finding the Third Proportional to 395,554 and 871,796

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Solution

The third proportional to 395,554 and 871,796 is: 1,921,427.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,554 : 871,796 = 871,796 : x
  2. Step 2: Convert to fraction form
    395,554/871,796 = 871,796/x
  3. Step 3: Cross multiply
    395,554x = 871,796 × 871,796
  4. Step 4: Simplify right side
    395,554x = 760,028,265,616
  5. Step 5: Solve for x
    x = 760,028,265,616/395,554
  6. Step 6: Final answer
    x = 1,921,427.33

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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.