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Finding the Third Proportional to 386,882 and 547,923

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Solution

The third proportional to 386,882 and 547,923 is: 775,997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,882 : 547,923 = 547,923 : x
  2. Step 2: Convert to fraction form
    386,882/547,923 = 547,923/x
  3. Step 3: Cross multiply
    386,882x = 547,923 × 547,923
  4. Step 4: Simplify right side
    386,882x = 300,219,613,929
  5. Step 5: Solve for x
    x = 300,219,613,929/386,882
  6. Step 6: Final answer
    x = 775,997.89

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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.