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Finding the Third Proportional to 77,716.50 and 120,462.75

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Solution

The third proportional to 77,716.50 and 120,462.75 is: 186,720.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,716.50 : 120,462.75 = 120,462.75 : x
  2. Step 2: Convert to fraction form
    77,716.50/120,462.75 = 120,462.75/x
  3. Step 3: Cross multiply
    77,716.50x = 120,462.75 × 120,462.75
  4. Step 4: Simplify right side
    77,716.50x = 14,511,274,137.56
  5. Step 5: Solve for x
    x = 14,511,274,137.56/77,716.50
  6. Step 6: Final answer
    x = 186,720.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.