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Finding the Third Proportional to 33,357 and 72,489

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Solution

The third proportional to 33,357 and 72,489 is: 157,527.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,357 : 72,489 = 72,489 : x
  2. Step 2: Convert to fraction form
    33,357/72,489 = 72,489/x
  3. Step 3: Cross multiply
    33,357x = 72,489 × 72,489
  4. Step 4: Simplify right side
    33,357x = 5,254,655,121
  5. Step 5: Solve for x
    x = 5,254,655,121/33,357
  6. Step 6: Final answer
    x = 157,527.81

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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.