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Finding the Third Proportional to 33,080 and 78,079

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Solution

The third proportional to 33,080 and 78,079 is: 184,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,080 : 78,079 = 78,079 : x
  2. Step 2: Convert to fraction form
    33,080/78,079 = 78,079/x
  3. Step 3: Cross multiply
    33,080x = 78,079 × 78,079
  4. Step 4: Simplify right side
    33,080x = 6,096,330,241
  5. Step 5: Solve for x
    x = 6,096,330,241/33,080
  6. Step 6: Final answer
    x = 184,290.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.