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Finding the Third Proportional to 167,839 and 256,141

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Solution

The third proportional to 167,839 and 256,141 is: 390,899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,839 : 256,141 = 256,141 : x
  2. Step 2: Convert to fraction form
    167,839/256,141 = 256,141/x
  3. Step 3: Cross multiply
    167,839x = 256,141 × 256,141
  4. Step 4: Simplify right side
    167,839x = 65,608,211,881
  5. Step 5: Solve for x
    x = 65,608,211,881/167,839
  6. Step 6: Final answer
    x = 390,899.68

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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.