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Finding the Third Proportional to 196,806 and 313,309

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Solution

The third proportional to 196,806 and 313,309 is: 498,778.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,806 : 313,309 = 313,309 : x
  2. Step 2: Convert to fraction form
    196,806/313,309 = 313,309/x
  3. Step 3: Cross multiply
    196,806x = 313,309 × 313,309
  4. Step 4: Simplify right side
    196,806x = 98,162,529,481
  5. Step 5: Solve for x
    x = 98,162,529,481/196,806
  6. Step 6: Final answer
    x = 498,778.13

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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.