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Finding the Third Proportional to 99,696 and 216,888

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Solution

The third proportional to 99,696 and 216,888 is: 471,838.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,696 : 216,888 = 216,888 : x
  2. Step 2: Convert to fraction form
    99,696/216,888 = 216,888/x
  3. Step 3: Cross multiply
    99,696x = 216,888 × 216,888
  4. Step 4: Simplify right side
    99,696x = 47,040,404,544
  5. Step 5: Solve for x
    x = 47,040,404,544/99,696
  6. Step 6: Final answer
    x = 471,838.43

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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.