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Finding the Third Proportional to 99,837 and 217,169

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Solution

The third proportional to 99,837 and 217,169 is: 472,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,837 : 217,169 = 217,169 : x
  2. Step 2: Convert to fraction form
    99,837/217,169 = 217,169/x
  3. Step 3: Cross multiply
    99,837x = 217,169 × 217,169
  4. Step 4: Simplify right side
    99,837x = 47,162,374,561
  5. Step 5: Solve for x
    x = 47,162,374,561/99,837
  6. Step 6: Final answer
    x = 472,393.75

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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.