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Finding the Third Proportional to 6,623 and 15,815

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Solution

The third proportional to 6,623 and 15,815 is: 37,764.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,623 : 15,815 = 15,815 : x
  2. Step 2: Convert to fraction form
    6,623/15,815 = 15,815/x
  3. Step 3: Cross multiply
    6,623x = 15,815 × 15,815
  4. Step 4: Simplify right side
    6,623x = 250,114,225
  5. Step 5: Solve for x
    x = 250,114,225/6,623
  6. Step 6: Final answer
    x = 37,764.49

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.