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Finding the Third Proportional to 192,410 and 281,167

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Solution

The third proportional to 192,410 and 281,167 is: 410,866.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,410 : 281,167 = 281,167 : x
  2. Step 2: Convert to fraction form
    192,410/281,167 = 281,167/x
  3. Step 3: Cross multiply
    192,410x = 281,167 × 281,167
  4. Step 4: Simplify right side
    192,410x = 79,054,881,889
  5. Step 5: Solve for x
    x = 79,054,881,889/192,410
  6. Step 6: Final answer
    x = 410,866.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.