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Finding the Third Proportional to 129,940 and 194,379

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Solution

The third proportional to 129,940 and 194,379 is: 290,774.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,940 : 194,379 = 194,379 : x
  2. Step 2: Convert to fraction form
    129,940/194,379 = 194,379/x
  3. Step 3: Cross multiply
    129,940x = 194,379 × 194,379
  4. Step 4: Simplify right side
    129,940x = 37,783,195,641
  5. Step 5: Solve for x
    x = 37,783,195,641/129,940
  6. Step 6: Final answer
    x = 290,774.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.