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Finding the Third Proportional to 35,908 and 77,149

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Solution

The third proportional to 35,908 and 77,149 is: 165,756.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,908 : 77,149 = 77,149 : x
  2. Step 2: Convert to fraction form
    35,908/77,149 = 77,149/x
  3. Step 3: Cross multiply
    35,908x = 77,149 × 77,149
  4. Step 4: Simplify right side
    35,908x = 5,951,968,201
  5. Step 5: Solve for x
    x = 5,951,968,201/35,908
  6. Step 6: Final answer
    x = 165,756.05

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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.