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Finding the Third Proportional to 123,512 and 251,388

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Solution

The third proportional to 123,512 and 251,388 is: 511,658.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,512 : 251,388 = 251,388 : x
  2. Step 2: Convert to fraction form
    123,512/251,388 = 251,388/x
  3. Step 3: Cross multiply
    123,512x = 251,388 × 251,388
  4. Step 4: Simplify right side
    123,512x = 63,195,926,544
  5. Step 5: Solve for x
    x = 63,195,926,544/123,512
  6. Step 6: Final answer
    x = 511,658.19

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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.