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Finding the Third Proportional to 167,839 and 256,142

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Solution

The third proportional to 167,839 and 256,142 is: 390,902.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,839 : 256,142 = 256,142 : x
  2. Step 2: Convert to fraction form
    167,839/256,142 = 256,142/x
  3. Step 3: Cross multiply
    167,839x = 256,142 × 256,142
  4. Step 4: Simplify right side
    167,839x = 65,608,724,164
  5. Step 5: Solve for x
    x = 65,608,724,164/167,839
  6. Step 6: Final answer
    x = 390,902.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.