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Finding the Third Proportional to 33,859 and 73,139

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Solution

The third proportional to 33,859 and 73,139 is: 157,987.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,859 : 73,139 = 73,139 : x
  2. Step 2: Convert to fraction form
    33,859/73,139 = 73,139/x
  3. Step 3: Cross multiply
    33,859x = 73,139 × 73,139
  4. Step 4: Simplify right side
    33,859x = 5,349,313,321
  5. Step 5: Solve for x
    x = 5,349,313,321/33,859
  6. Step 6: Final answer
    x = 157,987.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.