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Finding the Third Proportional to 99,910 and 218,125

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Solution

The third proportional to 99,910 and 218,125 is: 476,213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,910 : 218,125 = 218,125 : x
  2. Step 2: Convert to fraction form
    99,910/218,125 = 218,125/x
  3. Step 3: Cross multiply
    99,910x = 218,125 × 218,125
  4. Step 4: Simplify right side
    99,910x = 47,578,515,625
  5. Step 5: Solve for x
    x = 47,578,515,625/99,910
  6. Step 6: Final answer
    x = 476,213.75

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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.