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Finding the Third Proportional to 124,678 and 188,512

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Solution

The third proportional to 124,678 and 188,512 is: 285,028.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,678 : 188,512 = 188,512 : x
  2. Step 2: Convert to fraction form
    124,678/188,512 = 188,512/x
  3. Step 3: Cross multiply
    124,678x = 188,512 × 188,512
  4. Step 4: Simplify right side
    124,678x = 35,536,774,144
  5. Step 5: Solve for x
    x = 35,536,774,144/124,678
  6. Step 6: Final answer
    x = 285,028.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.