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Finding the Third Proportional to 100,616 and 217,168

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Solution

The third proportional to 100,616 and 217,168 is: 468,732.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,616 : 217,168 = 217,168 : x
  2. Step 2: Convert to fraction form
    100,616/217,168 = 217,168/x
  3. Step 3: Cross multiply
    100,616x = 217,168 × 217,168
  4. Step 4: Simplify right side
    100,616x = 47,161,940,224
  5. Step 5: Solve for x
    x = 47,161,940,224/100,616
  6. Step 6: Final answer
    x = 468,732.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.