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Finding the Third Proportional to 50,370.50 and 78,619

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Solution

The third proportional to 50,370.50 and 78,619 is: 122,709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,370.50 : 78,619 = 78,619 : x
  2. Step 2: Convert to fraction form
    50,370.50/78,619 = 78,619/x
  3. Step 3: Cross multiply
    50,370.50x = 78,619 × 78,619
  4. Step 4: Simplify right side
    50,370.50x = 6,180,947,161
  5. Step 5: Solve for x
    x = 6,180,947,161/50,370.50
  6. Step 6: Final answer
    x = 122,709.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.