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Finding the Third Proportional to 196,375 and 311,451

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Solution

The third proportional to 196,375 and 311,451 is: 493,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,375 : 311,451 = 311,451 : x
  2. Step 2: Convert to fraction form
    196,375/311,451 = 311,451/x
  3. Step 3: Cross multiply
    196,375x = 311,451 × 311,451
  4. Step 4: Simplify right side
    196,375x = 97,001,725,401
  5. Step 5: Solve for x
    x = 97,001,725,401/196,375
  6. Step 6: Final answer
    x = 493,961.68

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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.