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Finding the Third Proportional to 196,807 and 313,311

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Solution

The third proportional to 196,807 and 313,311 is: 498,781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,807 : 313,311 = 313,311 : x
  2. Step 2: Convert to fraction form
    196,807/313,311 = 313,311/x
  3. Step 3: Cross multiply
    196,807x = 313,311 × 313,311
  4. Step 4: Simplify right side
    196,807x = 98,163,782,721
  5. Step 5: Solve for x
    x = 98,163,782,721/196,807
  6. Step 6: Final answer
    x = 498,781.97

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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.