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Finding the Third Proportional to 52,612 and 111,794

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Solution

The third proportional to 52,612 and 111,794 is: 237,548.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,612 : 111,794 = 111,794 : x
  2. Step 2: Convert to fraction form
    52,612/111,794 = 111,794/x
  3. Step 3: Cross multiply
    52,612x = 111,794 × 111,794
  4. Step 4: Simplify right side
    52,612x = 12,497,898,436
  5. Step 5: Solve for x
    x = 12,497,898,436/52,612
  6. Step 6: Final answer
    x = 237,548.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.