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Finding the Third Proportional to 84,369 and 178,224.75

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Solution

The third proportional to 84,369 and 178,224.75 is: 376,489.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,369 : 178,224.75 = 178,224.75 : x
  2. Step 2: Convert to fraction form
    84,369/178,224.75 = 178,224.75/x
  3. Step 3: Cross multiply
    84,369x = 178,224.75 × 178,224.75
  4. Step 4: Simplify right side
    84,369x = 31,764,061,512.56
  5. Step 5: Solve for x
    x = 31,764,061,512.56/84,369
  6. Step 6: Final answer
    x = 376,489.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.