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Finding the Third Proportional to 33,253 and 70,819

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Solution

The third proportional to 33,253 and 70,819 is: 150,823.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,253 : 70,819 = 70,819 : x
  2. Step 2: Convert to fraction form
    33,253/70,819 = 70,819/x
  3. Step 3: Cross multiply
    33,253x = 70,819 × 70,819
  4. Step 4: Simplify right side
    33,253x = 5,015,330,761
  5. Step 5: Solve for x
    x = 5,015,330,761/33,253
  6. Step 6: Final answer
    x = 150,823.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.