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Finding the Third Proportional to 33,218 and 77,621

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Solution

The third proportional to 33,218 and 77,621 is: 181,378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,218 : 77,621 = 77,621 : x
  2. Step 2: Convert to fraction form
    33,218/77,621 = 77,621/x
  3. Step 3: Cross multiply
    33,218x = 77,621 × 77,621
  4. Step 4: Simplify right side
    33,218x = 6,025,019,641
  5. Step 5: Solve for x
    x = 6,025,019,641/33,218
  6. Step 6: Final answer
    x = 181,378.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.