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Finding the Third Proportional to 77,102 and 168,181

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Solution

The third proportional to 77,102 and 168,181 is: 366,849.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,102 : 168,181 = 168,181 : x
  2. Step 2: Convert to fraction form
    77,102/168,181 = 168,181/x
  3. Step 3: Cross multiply
    77,102x = 168,181 × 168,181
  4. Step 4: Simplify right side
    77,102x = 28,284,848,761
  5. Step 5: Solve for x
    x = 28,284,848,761/77,102
  6. Step 6: Final answer
    x = 366,849.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.