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Finding the Third Proportional to 20,531 and 44,267

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Solution

The third proportional to 20,531 and 44,267 is: 95,444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,531 : 44,267 = 44,267 : x
  2. Step 2: Convert to fraction form
    20,531/44,267 = 44,267/x
  3. Step 3: Cross multiply
    20,531x = 44,267 × 44,267
  4. Step 4: Simplify right side
    20,531x = 1,959,567,289
  5. Step 5: Solve for x
    x = 1,959,567,289/20,531
  6. Step 6: Final answer
    x = 95,444.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.