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Finding the Third Proportional to 109,195 and 231,511

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Solution

The third proportional to 109,195 and 231,511 is: 490,840.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,195 : 231,511 = 231,511 : x
  2. Step 2: Convert to fraction form
    109,195/231,511 = 231,511/x
  3. Step 3: Cross multiply
    109,195x = 231,511 × 231,511
  4. Step 4: Simplify right side
    109,195x = 53,597,343,121
  5. Step 5: Solve for x
    x = 53,597,343,121/109,195
  6. Step 6: Final answer
    x = 490,840.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.