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Finding the Third Proportional to 123,021 and 261,351

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Solution

The third proportional to 123,021 and 261,351 is: 555,225.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,021 : 261,351 = 261,351 : x
  2. Step 2: Convert to fraction form
    123,021/261,351 = 261,351/x
  3. Step 3: Cross multiply
    123,021x = 261,351 × 261,351
  4. Step 4: Simplify right side
    123,021x = 68,304,345,201
  5. Step 5: Solve for x
    x = 68,304,345,201/123,021
  6. Step 6: Final answer
    x = 555,225.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.