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Finding the Third Proportional to 54,566 and 117,475

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Solution

The third proportional to 54,566 and 117,475 is: 252,911.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,566 : 117,475 = 117,475 : x
  2. Step 2: Convert to fraction form
    54,566/117,475 = 117,475/x
  3. Step 3: Cross multiply
    54,566x = 117,475 × 117,475
  4. Step 4: Simplify right side
    54,566x = 13,800,375,625
  5. Step 5: Solve for x
    x = 13,800,375,625/54,566
  6. Step 6: Final answer
    x = 252,911.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.