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Finding the Third Proportional to 85,872 and 184,438

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Solution

The third proportional to 85,872 and 184,438 is: 396,140.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,872 : 184,438 = 184,438 : x
  2. Step 2: Convert to fraction form
    85,872/184,438 = 184,438/x
  3. Step 3: Cross multiply
    85,872x = 184,438 × 184,438
  4. Step 4: Simplify right side
    85,872x = 34,017,375,844
  5. Step 5: Solve for x
    x = 34,017,375,844/85,872
  6. Step 6: Final answer
    x = 396,140.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.