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Finding the Third Proportional to 401,472 and 587,131

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Solution

The third proportional to 401,472 and 587,131 is: 858,647.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,472 : 587,131 = 587,131 : x
  2. Step 2: Convert to fraction form
    401,472/587,131 = 587,131/x
  3. Step 3: Cross multiply
    401,472x = 587,131 × 587,131
  4. Step 4: Simplify right side
    401,472x = 344,722,811,161
  5. Step 5: Solve for x
    x = 344,722,811,161/401,472
  6. Step 6: Final answer
    x = 858,647.21

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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.