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Finding the Third Proportional to 196,387 and 311,469

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Solution

The third proportional to 196,387 and 311,469 is: 493,988.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,387 : 311,469 = 311,469 : x
  2. Step 2: Convert to fraction form
    196,387/311,469 = 311,469/x
  3. Step 3: Cross multiply
    196,387x = 311,469 × 311,469
  4. Step 4: Simplify right side
    196,387x = 97,012,937,961
  5. Step 5: Solve for x
    x = 97,012,937,961/196,387
  6. Step 6: Final answer
    x = 493,988.59

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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.