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Finding the Third Proportional to 84,143 and 178,672

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Solution

The third proportional to 84,143 and 178,672 is: 379,397.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,143 : 178,672 = 178,672 : x
  2. Step 2: Convert to fraction form
    84,143/178,672 = 178,672/x
  3. Step 3: Cross multiply
    84,143x = 178,672 × 178,672
  4. Step 4: Simplify right side
    84,143x = 31,923,683,584
  5. Step 5: Solve for x
    x = 31,923,683,584/84,143
  6. Step 6: Final answer
    x = 379,397.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.