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Finding the Third Proportional to 18,218.25 and 39,821.63

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Solution

The third proportional to 18,218.25 and 39,821.63 is: 87,042.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,218.25 : 39,821.63 = 39,821.63 : x
  2. Step 2: Convert to fraction form
    18,218.25/39,821.63 = 39,821.63/x
  3. Step 3: Cross multiply
    18,218.25x = 39,821.63 × 39,821.63
  4. Step 4: Simplify right side
    18,218.25x = 1,585,761,817.64
  5. Step 5: Solve for x
    x = 1,585,761,817.64/18,218.25
  6. Step 6: Final answer
    x = 87,042.49

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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.