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Finding the Third Proportional to 196,540 and 311,714

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Solution

The third proportional to 196,540 and 311,714 is: 494,380.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,540 : 311,714 = 311,714 : x
  2. Step 2: Convert to fraction form
    196,540/311,714 = 311,714/x
  3. Step 3: Cross multiply
    196,540x = 311,714 × 311,714
  4. Step 4: Simplify right side
    196,540x = 97,165,617,796
  5. Step 5: Solve for x
    x = 97,165,617,796/196,540
  6. Step 6: Final answer
    x = 494,380.88

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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.