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Finding the Third Proportional to 54,021 and 81,777

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Solution

The third proportional to 54,021 and 81,777 is: 123,794.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,021 : 81,777 = 81,777 : x
  2. Step 2: Convert to fraction form
    54,021/81,777 = 81,777/x
  3. Step 3: Cross multiply
    54,021x = 81,777 × 81,777
  4. Step 4: Simplify right side
    54,021x = 6,687,477,729
  5. Step 5: Solve for x
    x = 6,687,477,729/54,021
  6. Step 6: Final answer
    x = 123,794.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.