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Finding the Third Proportional to 18,775.69 and 38,069.44

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Solution

The third proportional to 18,775.69 and 38,069.44 is: 77,189.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,775.69 : 38,069.44 = 38,069.44 : x
  2. Step 2: Convert to fraction form
    18,775.69/38,069.44 = 38,069.44/x
  3. Step 3: Cross multiply
    18,775.69x = 38,069.44 × 38,069.44
  4. Step 4: Simplify right side
    18,775.69x = 1,449,282,071.57
  5. Step 5: Solve for x
    x = 1,449,282,071.57/18,775.69
  6. Step 6: Final answer
    x = 77,189.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.