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Finding the Third Proportional to 100,948 and 218,616

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Solution

The third proportional to 100,948 and 218,616 is: 473,441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,948 : 218,616 = 218,616 : x
  2. Step 2: Convert to fraction form
    100,948/218,616 = 218,616/x
  3. Step 3: Cross multiply
    100,948x = 218,616 × 218,616
  4. Step 4: Simplify right side
    100,948x = 47,792,955,456
  5. Step 5: Solve for x
    x = 47,792,955,456/100,948
  6. Step 6: Final answer
    x = 473,441.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.