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Finding the Third Proportional to 131,576 and 285,328

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Solution

The third proportional to 131,576 and 285,328 is: 618,745.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,576 : 285,328 = 285,328 : x
  2. Step 2: Convert to fraction form
    131,576/285,328 = 285,328/x
  3. Step 3: Cross multiply
    131,576x = 285,328 × 285,328
  4. Step 4: Simplify right side
    131,576x = 81,412,067,584
  5. Step 5: Solve for x
    x = 81,412,067,584/131,576
  6. Step 6: Final answer
    x = 618,745.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.