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Finding the Third Proportional to 128,542.50 and 182,697.75

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Solution

The third proportional to 128,542.50 and 182,697.75 is: 259,668.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,542.50 : 182,697.75 = 182,697.75 : x
  2. Step 2: Convert to fraction form
    128,542.50/182,697.75 = 182,697.75/x
  3. Step 3: Cross multiply
    128,542.50x = 182,697.75 × 182,697.75
  4. Step 4: Simplify right side
    128,542.50x = 33,378,467,855.06
  5. Step 5: Solve for x
    x = 33,378,467,855.06/128,542.50
  6. Step 6: Final answer
    x = 259,668.73

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.