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Finding the Third Proportional to 210,821 and 323,847

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Solution

The third proportional to 210,821 and 323,847 is: 497,468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,821 : 323,847 = 323,847 : x
  2. Step 2: Convert to fraction form
    210,821/323,847 = 323,847/x
  3. Step 3: Cross multiply
    210,821x = 323,847 × 323,847
  4. Step 4: Simplify right side
    210,821x = 104,876,879,409
  5. Step 5: Solve for x
    x = 104,876,879,409/210,821
  6. Step 6: Final answer
    x = 497,468.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.