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Finding the Third Proportional to 36,357 and 77,109

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Solution

The third proportional to 36,357 and 77,109 is: 163,539.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,357 : 77,109 = 77,109 : x
  2. Step 2: Convert to fraction form
    36,357/77,109 = 77,109/x
  3. Step 3: Cross multiply
    36,357x = 77,109 × 77,109
  4. Step 4: Simplify right side
    36,357x = 5,945,797,881
  5. Step 5: Solve for x
    x = 5,945,797,881/36,357
  6. Step 6: Final answer
    x = 163,539.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.