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Finding the Third Proportional to 178,162 and 261,410

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Solution

The third proportional to 178,162 and 261,410 is: 383,556.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,162 : 261,410 = 261,410 : x
  2. Step 2: Convert to fraction form
    178,162/261,410 = 261,410/x
  3. Step 3: Cross multiply
    178,162x = 261,410 × 261,410
  4. Step 4: Simplify right side
    178,162x = 68,335,188,100
  5. Step 5: Solve for x
    x = 68,335,188,100/178,162
  6. Step 6: Final answer
    x = 383,556.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.