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Finding the Third Proportional to 54,120 and 80,960

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Solution

The third proportional to 54,120 and 80,960 is: 121,110.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,120 : 80,960 = 80,960 : x
  2. Step 2: Convert to fraction form
    54,120/80,960 = 80,960/x
  3. Step 3: Cross multiply
    54,120x = 80,960 × 80,960
  4. Step 4: Simplify right side
    54,120x = 6,554,521,600
  5. Step 5: Solve for x
    x = 6,554,521,600/54,120
  6. Step 6: Final answer
    x = 121,110.89

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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.