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Finding the Third Proportional to 19,815 and 43,517

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Solution

The third proportional to 19,815 and 43,517 is: 95,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,815 : 43,517 = 43,517 : x
  2. Step 2: Convert to fraction form
    19,815/43,517 = 43,517/x
  3. Step 3: Cross multiply
    19,815x = 43,517 × 43,517
  4. Step 4: Simplify right side
    19,815x = 1,893,729,289
  5. Step 5: Solve for x
    x = 1,893,729,289/19,815
  6. Step 6: Final answer
    x = 95,570.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.