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Finding the Third Proportional to 49,782.75 and 78,867

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Solution

The third proportional to 49,782.75 and 78,867 is: 124,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,782.75 : 78,867 = 78,867 : x
  2. Step 2: Convert to fraction form
    49,782.75/78,867 = 78,867/x
  3. Step 3: Cross multiply
    49,782.75x = 78,867 × 78,867
  4. Step 4: Simplify right side
    49,782.75x = 6,220,003,689
  5. Step 5: Solve for x
    x = 6,220,003,689/49,782.75
  6. Step 6: Final answer
    x = 124,942.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.