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Finding the Third Proportional to 36,178 and 77,912

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Solution

The third proportional to 36,178 and 77,912 is: 167,789.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,178 : 77,912 = 77,912 : x
  2. Step 2: Convert to fraction form
    36,178/77,912 = 77,912/x
  3. Step 3: Cross multiply
    36,178x = 77,912 × 77,912
  4. Step 4: Simplify right side
    36,178x = 6,070,279,744
  5. Step 5: Solve for x
    x = 6,070,279,744/36,178
  6. Step 6: Final answer
    x = 167,789.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.