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Finding the Third Proportional to 12,901 and 27,970

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Solution

The third proportional to 12,901 and 27,970 is: 60,640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901 : 27,970 = 27,970 : x
  2. Step 2: Convert to fraction form
    12,901/27,970 = 27,970/x
  3. Step 3: Cross multiply
    12,901x = 27,970 × 27,970
  4. Step 4: Simplify right side
    12,901x = 782,320,900
  5. Step 5: Solve for x
    x = 782,320,900/12,901
  6. Step 6: Final answer
    x = 60,640.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.