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Finding the Third Proportional to 99,228 and 217,086

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Solution

The third proportional to 99,228 and 217,086 is: 474,929.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,228 : 217,086 = 217,086 : x
  2. Step 2: Convert to fraction form
    99,228/217,086 = 217,086/x
  3. Step 3: Cross multiply
    99,228x = 217,086 × 217,086
  4. Step 4: Simplify right side
    99,228x = 47,126,331,396
  5. Step 5: Solve for x
    x = 47,126,331,396/99,228
  6. Step 6: Final answer
    x = 474,929.77

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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.