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Finding the Third Proportional to 28,163 and 61,231

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Solution

The third proportional to 28,163 and 61,231 is: 133,126.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,163 : 61,231 = 61,231 : x
  2. Step 2: Convert to fraction form
    28,163/61,231 = 61,231/x
  3. Step 3: Cross multiply
    28,163x = 61,231 × 61,231
  4. Step 4: Simplify right side
    28,163x = 3,749,235,361
  5. Step 5: Solve for x
    x = 3,749,235,361/28,163
  6. Step 6: Final answer
    x = 133,126.28

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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.