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Finding the Third Proportional to 54,697 and 81,955

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Solution

The third proportional to 54,697 and 81,955 is: 122,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,697 : 81,955 = 81,955 : x
  2. Step 2: Convert to fraction form
    54,697/81,955 = 81,955/x
  3. Step 3: Cross multiply
    54,697x = 81,955 × 81,955
  4. Step 4: Simplify right side
    54,697x = 6,716,622,025
  5. Step 5: Solve for x
    x = 6,716,622,025/54,697
  6. Step 6: Final answer
    x = 122,796.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.