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Finding the Third Proportional to 18,422.44 and 39,821.63

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Solution

The third proportional to 18,422.44 and 39,821.63 is: 86,077.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,422.44 : 39,821.63 = 39,821.63 : x
  2. Step 2: Convert to fraction form
    18,422.44/39,821.63 = 39,821.63/x
  3. Step 3: Cross multiply
    18,422.44x = 39,821.63 × 39,821.63
  4. Step 4: Simplify right side
    18,422.44x = 1,585,761,817.64
  5. Step 5: Solve for x
    x = 1,585,761,817.64/18,422.44
  6. Step 6: Final answer
    x = 86,077.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.