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Finding the Third Proportional to 381,121 and 522,600

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Solution

The third proportional to 381,121 and 522,600 is: 716,598.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,121 : 522,600 = 522,600 : x
  2. Step 2: Convert to fraction form
    381,121/522,600 = 522,600/x
  3. Step 3: Cross multiply
    381,121x = 522,600 × 522,600
  4. Step 4: Simplify right side
    381,121x = 273,110,760,000
  5. Step 5: Solve for x
    x = 273,110,760,000/381,121
  6. Step 6: Final answer
    x = 716,598.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.