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Finding the Third Proportional to 21,777 and 47,757

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Solution

The third proportional to 21,777 and 47,757 is: 104,731.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,777 : 47,757 = 47,757 : x
  2. Step 2: Convert to fraction form
    21,777/47,757 = 47,757/x
  3. Step 3: Cross multiply
    21,777x = 47,757 × 47,757
  4. Step 4: Simplify right side
    21,777x = 2,280,731,049
  5. Step 5: Solve for x
    x = 2,280,731,049/21,777
  6. Step 6: Final answer
    x = 104,731.19

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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.