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Finding the Third Proportional to 99,729 and 218,226

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Solution

The third proportional to 99,729 and 218,226 is: 477,519.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,729 : 218,226 = 218,226 : x
  2. Step 2: Convert to fraction form
    99,729/218,226 = 218,226/x
  3. Step 3: Cross multiply
    99,729x = 218,226 × 218,226
  4. Step 4: Simplify right side
    99,729x = 47,622,587,076
  5. Step 5: Solve for x
    x = 47,622,587,076/99,729
  6. Step 6: Final answer
    x = 477,519.95

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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.