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Finding the Third Proportional to 51,462 and 79,161

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Solution

The third proportional to 51,462 and 79,161 is: 121,768.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,462 : 79,161 = 79,161 : x
  2. Step 2: Convert to fraction form
    51,462/79,161 = 79,161/x
  3. Step 3: Cross multiply
    51,462x = 79,161 × 79,161
  4. Step 4: Simplify right side
    51,462x = 6,266,463,921
  5. Step 5: Solve for x
    x = 6,266,463,921/51,462
  6. Step 6: Final answer
    x = 121,768.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.