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Finding the Third Proportional to 27,720 and 33,672

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Solution

The third proportional to 27,720 and 33,672 is: 40,902.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,720 : 33,672 = 33,672 : x
  2. Step 2: Convert to fraction form
    27,720/33,672 = 33,672/x
  3. Step 3: Cross multiply
    27,720x = 33,672 × 33,672
  4. Step 4: Simplify right side
    27,720x = 1,133,803,584
  5. Step 5: Solve for x
    x = 1,133,803,584/27,720
  6. Step 6: Final answer
    x = 40,902.01

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.