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Finding the Third Proportional to 12,735 and 27,980

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Solution

The third proportional to 12,735 and 27,980 is: 61,474.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,735 : 27,980 = 27,980 : x
  2. Step 2: Convert to fraction form
    12,735/27,980 = 27,980/x
  3. Step 3: Cross multiply
    12,735x = 27,980 × 27,980
  4. Step 4: Simplify right side
    12,735x = 782,880,400
  5. Step 5: Solve for x
    x = 782,880,400/12,735
  6. Step 6: Final answer
    x = 61,474.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.