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Finding the Third Proportional to 123,517 and 251,407

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Solution

The third proportional to 123,517 and 251,407 is: 511,714.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,517 : 251,407 = 251,407 : x
  2. Step 2: Convert to fraction form
    123,517/251,407 = 251,407/x
  3. Step 3: Cross multiply
    123,517x = 251,407 × 251,407
  4. Step 4: Simplify right side
    123,517x = 63,205,479,649
  5. Step 5: Solve for x
    x = 63,205,479,649/123,517
  6. Step 6: Final answer
    x = 511,714.82

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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.