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Finding the Third Proportional to 171,965 and 261,633

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Solution

The third proportional to 171,965 and 261,633 is: 398,056.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,965 : 261,633 = 261,633 : x
  2. Step 2: Convert to fraction form
    171,965/261,633 = 261,633/x
  3. Step 3: Cross multiply
    171,965x = 261,633 × 261,633
  4. Step 4: Simplify right side
    171,965x = 68,451,826,689
  5. Step 5: Solve for x
    x = 68,451,826,689/171,965
  6. Step 6: Final answer
    x = 398,056.74

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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.