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Finding the Third Proportional to 21,816 and 47,775

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Solution

The third proportional to 21,816 and 47,775 is: 104,622.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,816 : 47,775 = 47,775 : x
  2. Step 2: Convert to fraction form
    21,816/47,775 = 47,775/x
  3. Step 3: Cross multiply
    21,816x = 47,775 × 47,775
  4. Step 4: Simplify right side
    21,816x = 2,282,450,625
  5. Step 5: Solve for x
    x = 2,282,450,625/21,816
  6. Step 6: Final answer
    x = 104,622.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.