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Finding the Third Proportional to 33,318 and 70,378

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Solution

The third proportional to 33,318 and 70,378 is: 148,660.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,318 : 70,378 = 70,378 : x
  2. Step 2: Convert to fraction form
    33,318/70,378 = 70,378/x
  3. Step 3: Cross multiply
    33,318x = 70,378 × 70,378
  4. Step 4: Simplify right side
    33,318x = 4,953,062,884
  5. Step 5: Solve for x
    x = 4,953,062,884/33,318
  6. Step 6: Final answer
    x = 148,660.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.