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Finding the Third Proportional to 27,128 and 41,921

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Solution

The third proportional to 27,128 and 41,921 is: 64,780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,128 : 41,921 = 41,921 : x
  2. Step 2: Convert to fraction form
    27,128/41,921 = 41,921/x
  3. Step 3: Cross multiply
    27,128x = 41,921 × 41,921
  4. Step 4: Simplify right side
    27,128x = 1,757,370,241
  5. Step 5: Solve for x
    x = 1,757,370,241/27,128
  6. Step 6: Final answer
    x = 64,780.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.