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Finding the Third Proportional to 99,696 and 218,112

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Solution

The third proportional to 99,696 and 218,112 is: 477,179.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,696 : 218,112 = 218,112 : x
  2. Step 2: Convert to fraction form
    99,696/218,112 = 218,112/x
  3. Step 3: Cross multiply
    99,696x = 218,112 × 218,112
  4. Step 4: Simplify right side
    99,696x = 47,572,844,544
  5. Step 5: Solve for x
    x = 47,572,844,544/99,696
  6. Step 6: Final answer
    x = 477,179.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.