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Finding the Third Proportional to 401,441 and 587,087

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Solution

The third proportional to 401,441 and 587,087 is: 858,584.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,441 : 587,087 = 587,087 : x
  2. Step 2: Convert to fraction form
    401,441/587,087 = 587,087/x
  3. Step 3: Cross multiply
    401,441x = 587,087 × 587,087
  4. Step 4: Simplify right side
    401,441x = 344,671,145,569
  5. Step 5: Solve for x
    x = 344,671,145,569/401,441
  6. Step 6: Final answer
    x = 858,584.81

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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.