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Finding the Third Proportional to 27,790 and 64,279

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Solution

The third proportional to 27,790 and 64,279 is: 148,679.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,790 : 64,279 = 64,279 : x
  2. Step 2: Convert to fraction form
    27,790/64,279 = 64,279/x
  3. Step 3: Cross multiply
    27,790x = 64,279 × 64,279
  4. Step 4: Simplify right side
    27,790x = 4,131,789,841
  5. Step 5: Solve for x
    x = 4,131,789,841/27,790
  6. Step 6: Final answer
    x = 148,679.02

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.