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Finding the Third Proportional to 184,733 and 398,311

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Solution

The third proportional to 184,733 and 398,311 is: 858,815.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,733 : 398,311 = 398,311 : x
  2. Step 2: Convert to fraction form
    184,733/398,311 = 398,311/x
  3. Step 3: Cross multiply
    184,733x = 398,311 × 398,311
  4. Step 4: Simplify right side
    184,733x = 158,651,652,721
  5. Step 5: Solve for x
    x = 158,651,652,721/184,733
  6. Step 6: Final answer
    x = 858,815.98

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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.