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Finding the Third Proportional to 81,237 and 178,167

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Solution

The third proportional to 81,237 and 178,167 is: 390,751.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,237 : 178,167 = 178,167 : x
  2. Step 2: Convert to fraction form
    81,237/178,167 = 178,167/x
  3. Step 3: Cross multiply
    81,237x = 178,167 × 178,167
  4. Step 4: Simplify right side
    81,237x = 31,743,479,889
  5. Step 5: Solve for x
    x = 31,743,479,889/81,237
  6. Step 6: Final answer
    x = 390,751.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.