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Finding the Third Proportional to 18,100 and 27,970

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Solution

The third proportional to 18,100 and 27,970 is: 43,222.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,100 : 27,970 = 27,970 : x
  2. Step 2: Convert to fraction form
    18,100/27,970 = 27,970/x
  3. Step 3: Cross multiply
    18,100x = 27,970 × 27,970
  4. Step 4: Simplify right side
    18,100x = 782,320,900
  5. Step 5: Solve for x
    x = 782,320,900/18,100
  6. Step 6: Final answer
    x = 43,222.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.