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Finding the Third Proportional to 401,292 and 871,704

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Solution

The third proportional to 401,292 and 871,704 is: 1,893,553.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,292 : 871,704 = 871,704 : x
  2. Step 2: Convert to fraction form
    401,292/871,704 = 871,704/x
  3. Step 3: Cross multiply
    401,292x = 871,704 × 871,704
  4. Step 4: Simplify right side
    401,292x = 759,867,863,616
  5. Step 5: Solve for x
    x = 759,867,863,616/401,292
  6. Step 6: Final answer
    x = 1,893,553.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.