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Finding the Third Proportional to 103,888 and 223,666

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Solution

The third proportional to 103,888 and 223,666 is: 481,542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,888 : 223,666 = 223,666 : x
  2. Step 2: Convert to fraction form
    103,888/223,666 = 223,666/x
  3. Step 3: Cross multiply
    103,888x = 223,666 × 223,666
  4. Step 4: Simplify right side
    103,888x = 50,026,479,556
  5. Step 5: Solve for x
    x = 50,026,479,556/103,888
  6. Step 6: Final answer
    x = 481,542.43

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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.