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Finding the Third Proportional to 99,816 and 218,388

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Solution

The third proportional to 99,816 and 218,388 is: 477,812.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,816 : 218,388 = 218,388 : x
  2. Step 2: Convert to fraction form
    99,816/218,388 = 218,388/x
  3. Step 3: Cross multiply
    99,816x = 218,388 × 218,388
  4. Step 4: Simplify right side
    99,816x = 47,693,318,544
  5. Step 5: Solve for x
    x = 47,693,318,544/99,816
  6. Step 6: Final answer
    x = 477,812.36

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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.