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Finding the Third Proportional to 33,090 and 68,412

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Solution

The third proportional to 33,090 and 68,412 is: 141,438.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,090 : 68,412 = 68,412 : x
  2. Step 2: Convert to fraction form
    33,090/68,412 = 68,412/x
  3. Step 3: Cross multiply
    33,090x = 68,412 × 68,412
  4. Step 4: Simplify right side
    33,090x = 4,680,201,744
  5. Step 5: Solve for x
    x = 4,680,201,744/33,090
  6. Step 6: Final answer
    x = 141,438.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.