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Finding the Third Proportional to 129,171 and 196,491

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Solution

The third proportional to 129,171 and 196,491 is: 298,896.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,171 : 196,491 = 196,491 : x
  2. Step 2: Convert to fraction form
    129,171/196,491 = 196,491/x
  3. Step 3: Cross multiply
    129,171x = 196,491 × 196,491
  4. Step 4: Simplify right side
    129,171x = 38,608,713,081
  5. Step 5: Solve for x
    x = 38,608,713,081/129,171
  6. Step 6: Final answer
    x = 298,896.14

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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.