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Finding the Third Proportional to 18,121.50 and 21,798

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Solution

The third proportional to 18,121.50 and 21,798 is: 26,220.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,121.50 : 21,798 = 21,798 : x
  2. Step 2: Convert to fraction form
    18,121.50/21,798 = 21,798/x
  3. Step 3: Cross multiply
    18,121.50x = 21,798 × 21,798
  4. Step 4: Simplify right side
    18,121.50x = 475,152,804
  5. Step 5: Solve for x
    x = 475,152,804/18,121.50
  6. Step 6: Final answer
    x = 26,220.39

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.