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Finding the Third Proportional to 81,138 and 178,260

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Solution

The third proportional to 81,138 and 178,260 is: 391,636.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,138 : 178,260 = 178,260 : x
  2. Step 2: Convert to fraction form
    81,138/178,260 = 178,260/x
  3. Step 3: Cross multiply
    81,138x = 178,260 × 178,260
  4. Step 4: Simplify right side
    81,138x = 31,776,627,600
  5. Step 5: Solve for x
    x = 31,776,627,600/81,138
  6. Step 6: Final answer
    x = 391,636.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.