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Finding the Third Proportional to 54,576 and 84,555

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Solution

The third proportional to 54,576 and 84,555 is: 131,001.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,576 : 84,555 = 84,555 : x
  2. Step 2: Convert to fraction form
    54,576/84,555 = 84,555/x
  3. Step 3: Cross multiply
    54,576x = 84,555 × 84,555
  4. Step 4: Simplify right side
    54,576x = 7,149,548,025
  5. Step 5: Solve for x
    x = 7,149,548,025/54,576
  6. Step 6: Final answer
    x = 131,001.69

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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.