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Finding the Third Proportional to 54,091 and 80,685

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Solution

The third proportional to 54,091 and 80,685 is: 120,354.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,091 : 80,685 = 80,685 : x
  2. Step 2: Convert to fraction form
    54,091/80,685 = 80,685/x
  3. Step 3: Cross multiply
    54,091x = 80,685 × 80,685
  4. Step 4: Simplify right side
    54,091x = 6,510,069,225
  5. Step 5: Solve for x
    x = 6,510,069,225/54,091
  6. Step 6: Final answer
    x = 120,354.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.