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Finding the Third Proportional to 50,710 and 73,448

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Solution

The third proportional to 50,710 and 73,448 is: 106,381.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,710 : 73,448 = 73,448 : x
  2. Step 2: Convert to fraction form
    50,710/73,448 = 73,448/x
  3. Step 3: Cross multiply
    50,710x = 73,448 × 73,448
  4. Step 4: Simplify right side
    50,710x = 5,394,608,704
  5. Step 5: Solve for x
    x = 5,394,608,704/50,710
  6. Step 6: Final answer
    x = 106,381.56

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.