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Finding the Third Proportional to 103,905 and 223,703

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Solution

The third proportional to 103,905 and 223,703 is: 481,622.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,905 : 223,703 = 223,703 : x
  2. Step 2: Convert to fraction form
    103,905/223,703 = 223,703/x
  3. Step 3: Cross multiply
    103,905x = 223,703 × 223,703
  4. Step 4: Simplify right side
    103,905x = 50,043,032,209
  5. Step 5: Solve for x
    x = 50,043,032,209/103,905
  6. Step 6: Final answer
    x = 481,622.95

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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.