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Finding the Third Proportional to 33,486 and 73,437

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Solution

The third proportional to 33,486 and 73,437 is: 161,052.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,486 : 73,437 = 73,437 : x
  2. Step 2: Convert to fraction form
    33,486/73,437 = 73,437/x
  3. Step 3: Cross multiply
    33,486x = 73,437 × 73,437
  4. Step 4: Simplify right side
    33,486x = 5,392,992,969
  5. Step 5: Solve for x
    x = 5,392,992,969/33,486
  6. Step 6: Final answer
    x = 161,052.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.