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Finding the Third Proportional to 54,644 and 78,974

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Solution

The third proportional to 54,644 and 78,974 is: 114,136.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,644 : 78,974 = 78,974 : x
  2. Step 2: Convert to fraction form
    54,644/78,974 = 78,974/x
  3. Step 3: Cross multiply
    54,644x = 78,974 × 78,974
  4. Step 4: Simplify right side
    54,644x = 6,236,892,676
  5. Step 5: Solve for x
    x = 6,236,892,676/54,644
  6. Step 6: Final answer
    x = 114,136.83

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.