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Finding the Third Proportional to 76,448 and 115,821

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Solution

The third proportional to 76,448 and 115,821 is: 175,472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,448 : 115,821 = 115,821 : x
  2. Step 2: Convert to fraction form
    76,448/115,821 = 115,821/x
  3. Step 3: Cross multiply
    76,448x = 115,821 × 115,821
  4. Step 4: Simplify right side
    76,448x = 13,414,504,041
  5. Step 5: Solve for x
    x = 13,414,504,041/76,448
  6. Step 6: Final answer
    x = 175,472.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.