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Finding the Third Proportional to 122,004 and 223,758

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Solution

The third proportional to 122,004 and 223,758 is: 410,377.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,004 : 223,758 = 223,758 : x
  2. Step 2: Convert to fraction form
    122,004/223,758 = 223,758/x
  3. Step 3: Cross multiply
    122,004x = 223,758 × 223,758
  4. Step 4: Simplify right side
    122,004x = 50,067,642,564
  5. Step 5: Solve for x
    x = 50,067,642,564/122,004
  6. Step 6: Final answer
    x = 410,377.06

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.