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Finding the Third Proportional to 196,805 and 313,308

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Solution

The third proportional to 196,805 and 313,308 is: 498,777.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,805 : 313,308 = 313,308 : x
  2. Step 2: Convert to fraction form
    196,805/313,308 = 313,308/x
  3. Step 3: Cross multiply
    196,805x = 313,308 × 313,308
  4. Step 4: Simplify right side
    196,805x = 98,161,902,864
  5. Step 5: Solve for x
    x = 98,161,902,864/196,805
  6. Step 6: Final answer
    x = 498,777.48

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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.