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Finding the Third Proportional to 172,821 and 264,493

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Solution

The third proportional to 172,821 and 264,493 is: 404,791.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,821 : 264,493 = 264,493 : x
  2. Step 2: Convert to fraction form
    172,821/264,493 = 264,493/x
  3. Step 3: Cross multiply
    172,821x = 264,493 × 264,493
  4. Step 4: Simplify right side
    172,821x = 69,956,547,049
  5. Step 5: Solve for x
    x = 69,956,547,049/172,821
  6. Step 6: Final answer
    x = 404,791.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.