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Finding the Third Proportional to 196,508 and 311,651

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Solution

The third proportional to 196,508 and 311,651 is: 494,261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,508 : 311,651 = 311,651 : x
  2. Step 2: Convert to fraction form
    196,508/311,651 = 311,651/x
  3. Step 3: Cross multiply
    196,508x = 311,651 × 311,651
  4. Step 4: Simplify right side
    196,508x = 97,126,345,801
  5. Step 5: Solve for x
    x = 97,126,345,801/196,508
  6. Step 6: Final answer
    x = 494,261.54

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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.