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Finding the Third Proportional to 12,690 and 27,812

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Solution

The third proportional to 12,690 and 27,812 is: 60,954.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,690 : 27,812 = 27,812 : x
  2. Step 2: Convert to fraction form
    12,690/27,812 = 27,812/x
  3. Step 3: Cross multiply
    12,690x = 27,812 × 27,812
  4. Step 4: Simplify right side
    12,690x = 773,507,344
  5. Step 5: Solve for x
    x = 773,507,344/12,690
  6. Step 6: Final answer
    x = 60,954.09

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1.5x scale

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.