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Finding the Third Proportional to 104,021 and 212,971

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Solution

The third proportional to 104,021 and 212,971 is: 436,033.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,021 : 212,971 = 212,971 : x
  2. Step 2: Convert to fraction form
    104,021/212,971 = 212,971/x
  3. Step 3: Cross multiply
    104,021x = 212,971 × 212,971
  4. Step 4: Simplify right side
    104,021x = 45,356,646,841
  5. Step 5: Solve for x
    x = 45,356,646,841/104,021
  6. Step 6: Final answer
    x = 436,033.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.