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Finding the Third Proportional to 18,926.75 and 39,815

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Solution

The third proportional to 18,926.75 and 39,815 is: 83,756.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,926.75 : 39,815 = 39,815 : x
  2. Step 2: Convert to fraction form
    18,926.75/39,815 = 39,815/x
  3. Step 3: Cross multiply
    18,926.75x = 39,815 × 39,815
  4. Step 4: Simplify right side
    18,926.75x = 1,585,234,225
  5. Step 5: Solve for x
    x = 1,585,234,225/18,926.75
  6. Step 6: Final answer
    x = 83,756.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.