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Finding the Third Proportional to 105,357 and 223,104

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Solution

The third proportional to 105,357 and 223,104 is: 472,445.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,357 : 223,104 = 223,104 : x
  2. Step 2: Convert to fraction form
    105,357/223,104 = 223,104/x
  3. Step 3: Cross multiply
    105,357x = 223,104 × 223,104
  4. Step 4: Simplify right side
    105,357x = 49,775,394,816
  5. Step 5: Solve for x
    x = 49,775,394,816/105,357
  6. Step 6: Final answer
    x = 472,445.07

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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.