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Finding the Third Proportional to 33,690 and 73,209

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Solution

The third proportional to 33,690 and 73,209 is: 159,084.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,690 : 73,209 = 73,209 : x
  2. Step 2: Convert to fraction form
    33,690/73,209 = 73,209/x
  3. Step 3: Cross multiply
    33,690x = 73,209 × 73,209
  4. Step 4: Simplify right side
    33,690x = 5,359,557,681
  5. Step 5: Solve for x
    x = 5,359,557,681/33,690
  6. Step 6: Final answer
    x = 159,084.53

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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.