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Finding the Third Proportional to 123,541 and 251,455

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Solution

The third proportional to 123,541 and 251,455 is: 511,810.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,541 : 251,455 = 251,455 : x
  2. Step 2: Convert to fraction form
    123,541/251,455 = 251,455/x
  3. Step 3: Cross multiply
    123,541x = 251,455 × 251,455
  4. Step 4: Simplify right side
    123,541x = 63,229,617,025
  5. Step 5: Solve for x
    x = 63,229,617,025/123,541
  6. Step 6: Final answer
    x = 511,810.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.