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Finding the Third Proportional to 179,611 and 261,518

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Solution

The third proportional to 179,611 and 261,518 is: 380,776.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,611 : 261,518 = 261,518 : x
  2. Step 2: Convert to fraction form
    179,611/261,518 = 261,518/x
  3. Step 3: Cross multiply
    179,611x = 261,518 × 261,518
  4. Step 4: Simplify right side
    179,611x = 68,391,664,324
  5. Step 5: Solve for x
    x = 68,391,664,324/179,611
  6. Step 6: Final answer
    x = 380,776.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.