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Finding the Third Proportional to 99,786 and 218,009

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Solution

The third proportional to 99,786 and 218,009 is: 476,298.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,786 : 218,009 = 218,009 : x
  2. Step 2: Convert to fraction form
    99,786/218,009 = 218,009/x
  3. Step 3: Cross multiply
    99,786x = 218,009 × 218,009
  4. Step 4: Simplify right side
    99,786x = 47,527,924,081
  5. Step 5: Solve for x
    x = 47,527,924,081/99,786
  6. Step 6: Final answer
    x = 476,298.52

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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.