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Finding the Third Proportional to 54,009 and 80,449.50

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Solution

The third proportional to 54,009 and 80,449.50 is: 119,834.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,009 : 80,449.50 = 80,449.50 : x
  2. Step 2: Convert to fraction form
    54,009/80,449.50 = 80,449.50/x
  3. Step 3: Cross multiply
    54,009x = 80,449.50 × 80,449.50
  4. Step 4: Simplify right side
    54,009x = 6,472,122,050.25
  5. Step 5: Solve for x
    x = 6,472,122,050.25/54,009
  6. Step 6: Final answer
    x = 119,834.14

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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.