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Finding the Third Proportional to 99,738 and 218,244

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Solution

The third proportional to 99,738 and 218,244 is: 477,555.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,738 : 218,244 = 218,244 : x
  2. Step 2: Convert to fraction form
    99,738/218,244 = 218,244/x
  3. Step 3: Cross multiply
    99,738x = 218,244 × 218,244
  4. Step 4: Simplify right side
    99,738x = 47,630,443,536
  5. Step 5: Solve for x
    x = 47,630,443,536/99,738
  6. Step 6: Final answer
    x = 477,555.63

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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.