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Finding the Third Proportional to 27,912 and 61,072

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Solution

The third proportional to 27,912 and 61,072 is: 133,626.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,912 : 61,072 = 61,072 : x
  2. Step 2: Convert to fraction form
    27,912/61,072 = 61,072/x
  3. Step 3: Cross multiply
    27,912x = 61,072 × 61,072
  4. Step 4: Simplify right side
    27,912x = 3,729,789,184
  5. Step 5: Solve for x
    x = 3,729,789,184/27,912
  6. Step 6: Final answer
    x = 133,626.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.