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Finding the Third Proportional to 54,485 and 84,717

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Solution

The third proportional to 54,485 and 84,717 is: 131,723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,485 : 84,717 = 84,717 : x
  2. Step 2: Convert to fraction form
    54,485/84,717 = 84,717/x
  3. Step 3: Cross multiply
    54,485x = 84,717 × 84,717
  4. Step 4: Simplify right side
    54,485x = 7,176,970,089
  5. Step 5: Solve for x
    x = 7,176,970,089/54,485
  6. Step 6: Final answer
    x = 131,723.78

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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.