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Finding the Third Proportional to 392,062 and 576,611

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Solution

The third proportional to 392,062 and 576,611 is: 848,029.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,062 : 576,611 = 576,611 : x
  2. Step 2: Convert to fraction form
    392,062/576,611 = 576,611/x
  3. Step 3: Cross multiply
    392,062x = 576,611 × 576,611
  4. Step 4: Simplify right side
    392,062x = 332,480,245,321
  5. Step 5: Solve for x
    x = 332,480,245,321/392,062
  6. Step 6: Final answer
    x = 848,029.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.