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Finding the Third Proportional to 401,520 and 587,188

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Solution

The third proportional to 401,520 and 587,188 is: 858,711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,520 : 587,188 = 587,188 : x
  2. Step 2: Convert to fraction form
    401,520/587,188 = 587,188/x
  3. Step 3: Cross multiply
    401,520x = 587,188 × 587,188
  4. Step 4: Simplify right side
    401,520x = 344,789,747,344
  5. Step 5: Solve for x
    x = 344,789,747,344/401,520
  6. Step 6: Final answer
    x = 858,711.27

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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.