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Finding the Third Proportional to 68,181 and 149,122

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Solution

The third proportional to 68,181 and 149,122 is: 326,152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,181 : 149,122 = 149,122 : x
  2. Step 2: Convert to fraction form
    68,181/149,122 = 149,122/x
  3. Step 3: Cross multiply
    68,181x = 149,122 × 149,122
  4. Step 4: Simplify right side
    68,181x = 22,237,370,884
  5. Step 5: Solve for x
    x = 22,237,370,884/68,181
  6. Step 6: Final answer
    x = 326,152.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.