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Finding the Third Proportional to 54,207 and 80,739

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Solution

The third proportional to 54,207 and 80,739 is: 120,257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,207 : 80,739 = 80,739 : x
  2. Step 2: Convert to fraction form
    54,207/80,739 = 80,739/x
  3. Step 3: Cross multiply
    54,207x = 80,739 × 80,739
  4. Step 4: Simplify right side
    54,207x = 6,518,786,121
  5. Step 5: Solve for x
    x = 6,518,786,121/54,207
  6. Step 6: Final answer
    x = 120,257.28

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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.