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Finding the Third Proportional to 171,682 and 261,521

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Solution

The third proportional to 171,682 and 261,521 is: 398,371.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,682 : 261,521 = 261,521 : x
  2. Step 2: Convert to fraction form
    171,682/261,521 = 261,521/x
  3. Step 3: Cross multiply
    171,682x = 261,521 × 261,521
  4. Step 4: Simplify right side
    171,682x = 68,393,233,441
  5. Step 5: Solve for x
    x = 68,393,233,441/171,682
  6. Step 6: Final answer
    x = 398,371.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.