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Finding the Third Proportional to 66,621 and 144,993

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Solution

The third proportional to 66,621 and 144,993 is: 315,560.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,621 : 144,993 = 144,993 : x
  2. Step 2: Convert to fraction form
    66,621/144,993 = 144,993/x
  3. Step 3: Cross multiply
    66,621x = 144,993 × 144,993
  4. Step 4: Simplify right side
    66,621x = 21,022,970,049
  5. Step 5: Solve for x
    x = 21,022,970,049/66,621
  6. Step 6: Final answer
    x = 315,560.71

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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.