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Finding the Third Proportional to 54,313 and 76,912

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Solution

The third proportional to 54,313 and 76,912 is: 108,914.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,313 : 76,912 = 76,912 : x
  2. Step 2: Convert to fraction form
    54,313/76,912 = 76,912/x
  3. Step 3: Cross multiply
    54,313x = 76,912 × 76,912
  4. Step 4: Simplify right side
    54,313x = 5,915,455,744
  5. Step 5: Solve for x
    x = 5,915,455,744/54,313
  6. Step 6: Final answer
    x = 108,914.18

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.