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Finding the Third Proportional to 77,434 and 115,843

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Solution

The third proportional to 77,434 and 115,843 is: 173,303.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,434 : 115,843 = 115,843 : x
  2. Step 2: Convert to fraction form
    77,434/115,843 = 115,843/x
  3. Step 3: Cross multiply
    77,434x = 115,843 × 115,843
  4. Step 4: Simplify right side
    77,434x = 13,419,600,649
  5. Step 5: Solve for x
    x = 13,419,600,649/77,434
  6. Step 6: Final answer
    x = 173,303.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.