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Finding the Third Proportional to 99,838 and 217,171

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Solution

The third proportional to 99,838 and 217,171 is: 472,397.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,838 : 217,171 = 217,171 : x
  2. Step 2: Convert to fraction form
    99,838/217,171 = 217,171/x
  3. Step 3: Cross multiply
    99,838x = 217,171 × 217,171
  4. Step 4: Simplify right side
    99,838x = 47,163,243,241
  5. Step 5: Solve for x
    x = 47,163,243,241/99,838
  6. Step 6: Final answer
    x = 472,397.72

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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.