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Finding the Third Proportional to 36,243 and 73,509

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Solution

The third proportional to 36,243 and 73,509 is: 149,092.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,243 : 73,509 = 73,509 : x
  2. Step 2: Convert to fraction form
    36,243/73,509 = 73,509/x
  3. Step 3: Cross multiply
    36,243x = 73,509 × 73,509
  4. Step 4: Simplify right side
    36,243x = 5,403,573,081
  5. Step 5: Solve for x
    x = 5,403,573,081/36,243
  6. Step 6: Final answer
    x = 149,092.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.