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Finding the Third Proportional to 196,794 and 309,381.75

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Solution

The third proportional to 196,794 and 309,381.75 is: 486,382.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,794 : 309,381.75 = 309,381.75 : x
  2. Step 2: Convert to fraction form
    196,794/309,381.75 = 309,381.75/x
  3. Step 3: Cross multiply
    196,794x = 309,381.75 × 309,381.75
  4. Step 4: Simplify right side
    196,794x = 95,717,067,233.06
  5. Step 5: Solve for x
    x = 95,717,067,233.06/196,794
  6. Step 6: Final answer
    x = 486,382.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.