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Finding the Third Proportional to 54,912 and 84,960

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Solution

The third proportional to 54,912 and 84,960 is: 131,450.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,912 : 84,960 = 84,960 : x
  2. Step 2: Convert to fraction form
    54,912/84,960 = 84,960/x
  3. Step 3: Cross multiply
    54,912x = 84,960 × 84,960
  4. Step 4: Simplify right side
    54,912x = 7,218,201,600
  5. Step 5: Solve for x
    x = 7,218,201,600/54,912
  6. Step 6: Final answer
    x = 131,450.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.