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Finding the Third Proportional to 77,640 and 167,166

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Solution

The third proportional to 77,640 and 167,166 is: 359,923.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,640 : 167,166 = 167,166 : x
  2. Step 2: Convert to fraction form
    77,640/167,166 = 167,166/x
  3. Step 3: Cross multiply
    77,640x = 167,166 × 167,166
  4. Step 4: Simplify right side
    77,640x = 27,944,471,556
  5. Step 5: Solve for x
    x = 27,944,471,556/77,640
  6. Step 6: Final answer
    x = 359,923.64

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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.