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Finding the Third Proportional to 7,821 and 13,905

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Solution

The third proportional to 7,821 and 13,905 is: 24,721.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821 : 13,905 = 13,905 : x
  2. Step 2: Convert to fraction form
    7,821/13,905 = 13,905/x
  3. Step 3: Cross multiply
    7,821x = 13,905 × 13,905
  4. Step 4: Simplify right side
    7,821x = 193,349,025
  5. Step 5: Solve for x
    x = 193,349,025/7,821
  6. Step 6: Final answer
    x = 24,721.78

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.