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Finding the Third Proportional to 196,809 and 313,314

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Solution

The third proportional to 196,809 and 313,314 is: 498,786.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,809 : 313,314 = 313,314 : x
  2. Step 2: Convert to fraction form
    196,809/313,314 = 313,314/x
  3. Step 3: Cross multiply
    196,809x = 313,314 × 313,314
  4. Step 4: Simplify right side
    196,809x = 98,165,662,596
  5. Step 5: Solve for x
    x = 98,165,662,596/196,809
  6. Step 6: Final answer
    x = 498,786.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.