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Finding the Third Proportional to 54,054 and 80,865

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Solution

The third proportional to 54,054 and 80,865 is: 120,974.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,054 : 80,865 = 80,865 : x
  2. Step 2: Convert to fraction form
    54,054/80,865 = 80,865/x
  3. Step 3: Cross multiply
    54,054x = 80,865 × 80,865
  4. Step 4: Simplify right side
    54,054x = 6,539,148,225
  5. Step 5: Solve for x
    x = 6,539,148,225/54,054
  6. Step 6: Final answer
    x = 120,974.36

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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.