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Finding the Third Proportional to 84,718 and 178,172

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Solution

The third proportional to 84,718 and 178,172 is: 374,716.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,718 : 178,172 = 178,172 : x
  2. Step 2: Convert to fraction form
    84,718/178,172 = 178,172/x
  3. Step 3: Cross multiply
    84,718x = 178,172 × 178,172
  4. Step 4: Simplify right side
    84,718x = 31,745,261,584
  5. Step 5: Solve for x
    x = 31,745,261,584/84,718
  6. Step 6: Final answer
    x = 374,716.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.