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Finding the Third Proportional to 99,176 and 218,008

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Solution

The third proportional to 99,176 and 218,008 is: 479,223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,176 : 218,008 = 218,008 : x
  2. Step 2: Convert to fraction form
    99,176/218,008 = 218,008/x
  3. Step 3: Cross multiply
    99,176x = 218,008 × 218,008
  4. Step 4: Simplify right side
    99,176x = 47,527,488,064
  5. Step 5: Solve for x
    x = 47,527,488,064/99,176
  6. Step 6: Final answer
    x = 479,223.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.