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Finding the Third Proportional to 401,519 and 587,172

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Solution

The third proportional to 401,519 and 587,172 is: 858,666.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,519 : 587,172 = 587,172 : x
  2. Step 2: Convert to fraction form
    401,519/587,172 = 587,172/x
  3. Step 3: Cross multiply
    401,519x = 587,172 × 587,172
  4. Step 4: Simplify right side
    401,519x = 344,770,957,584
  5. Step 5: Solve for x
    x = 344,770,957,584/401,519
  6. Step 6: Final answer
    x = 858,666.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.