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Finding the Third Proportional to 103,900 and 223,690

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Solution

The third proportional to 103,900 and 223,690 is: 481,590.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,900 : 223,690 = 223,690 : x
  2. Step 2: Convert to fraction form
    103,900/223,690 = 223,690/x
  3. Step 3: Cross multiply
    103,900x = 223,690 × 223,690
  4. Step 4: Simplify right side
    103,900x = 50,037,216,100
  5. Step 5: Solve for x
    x = 50,037,216,100/103,900
  6. Step 6: Final answer
    x = 481,590.15

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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.