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Finding the Third Proportional to 171,450 and 263,691

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Solution

The third proportional to 171,450 and 263,691 is: 405,558.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,450 : 263,691 = 263,691 : x
  2. Step 2: Convert to fraction form
    171,450/263,691 = 263,691/x
  3. Step 3: Cross multiply
    171,450x = 263,691 × 263,691
  4. Step 4: Simplify right side
    171,450x = 69,532,943,481
  5. Step 5: Solve for x
    x = 69,532,943,481/171,450
  6. Step 6: Final answer
    x = 405,558.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.