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Finding the Third Proportional to 184,721 and 398,914

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Solution

The third proportional to 184,721 and 398,914 is: 861,474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,721 : 398,914 = 398,914 : x
  2. Step 2: Convert to fraction form
    184,721/398,914 = 398,914/x
  3. Step 3: Cross multiply
    184,721x = 398,914 × 398,914
  4. Step 4: Simplify right side
    184,721x = 159,132,379,396
  5. Step 5: Solve for x
    x = 159,132,379,396/184,721
  6. Step 6: Final answer
    x = 861,474.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.