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Finding the Third Proportional to 99,912 and 218,129

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Solution

The third proportional to 99,912 and 218,129 is: 476,221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,912 : 218,129 = 218,129 : x
  2. Step 2: Convert to fraction form
    99,912/218,129 = 218,129/x
  3. Step 3: Cross multiply
    99,912x = 218,129 × 218,129
  4. Step 4: Simplify right side
    99,912x = 47,580,260,641
  5. Step 5: Solve for x
    x = 47,580,260,641/99,912
  6. Step 6: Final answer
    x = 476,221.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.