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Finding the Third Proportional to 171,818 and 261,372

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Solution

The third proportional to 171,818 and 261,372 is: 397,602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,818 : 261,372 = 261,372 : x
  2. Step 2: Convert to fraction form
    171,818/261,372 = 261,372/x
  3. Step 3: Cross multiply
    171,818x = 261,372 × 261,372
  4. Step 4: Simplify right side
    171,818x = 68,315,322,384
  5. Step 5: Solve for x
    x = 68,315,322,384/171,818
  6. Step 6: Final answer
    x = 397,602.83

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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.