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Finding the Third Proportional to 103,401 and 213,268

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Solution

The third proportional to 103,401 and 213,268 is: 439,872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,401 : 213,268 = 213,268 : x
  2. Step 2: Convert to fraction form
    103,401/213,268 = 213,268/x
  3. Step 3: Cross multiply
    103,401x = 213,268 × 213,268
  4. Step 4: Simplify right side
    103,401x = 45,483,239,824
  5. Step 5: Solve for x
    x = 45,483,239,824/103,401
  6. Step 6: Final answer
    x = 439,872.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.