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Finding the Third Proportional to 112,747 and 234,821

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Solution

The third proportional to 112,747 and 234,821 is: 489,067.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,747 : 234,821 = 234,821 : x
  2. Step 2: Convert to fraction form
    112,747/234,821 = 234,821/x
  3. Step 3: Cross multiply
    112,747x = 234,821 × 234,821
  4. Step 4: Simplify right side
    112,747x = 55,140,902,041
  5. Step 5: Solve for x
    x = 55,140,902,041/112,747
  6. Step 6: Final answer
    x = 489,067.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.