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Finding the Third Proportional to 100,313 and 222,769

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Solution

The third proportional to 100,313 and 222,769 is: 494,711.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,313 : 222,769 = 222,769 : x
  2. Step 2: Convert to fraction form
    100,313/222,769 = 222,769/x
  3. Step 3: Cross multiply
    100,313x = 222,769 × 222,769
  4. Step 4: Simplify right side
    100,313x = 49,626,027,361
  5. Step 5: Solve for x
    x = 49,626,027,361/100,313
  6. Step 6: Final answer
    x = 494,711.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.