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Finding the Third Proportional to 18,817.31 and 39,897.56

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Solution

The third proportional to 18,817.31 and 39,897.56 is: 84,593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,817.31 : 39,897.56 = 39,897.56 : x
  2. Step 2: Convert to fraction form
    18,817.31/39,897.56 = 39,897.56/x
  3. Step 3: Cross multiply
    18,817.31x = 39,897.56 × 39,897.56
  4. Step 4: Simplify right side
    18,817.31x = 1,591,815,493.44
  5. Step 5: Solve for x
    x = 1,591,815,493.44/18,817.31
  6. Step 6: Final answer
    x = 84,593.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.