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Finding the Third Proportional to 189,824 and 274,944

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Solution

The third proportional to 189,824 and 274,944 is: 398,233.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,824 : 274,944 = 274,944 : x
  2. Step 2: Convert to fraction form
    189,824/274,944 = 274,944/x
  3. Step 3: Cross multiply
    189,824x = 274,944 × 274,944
  4. Step 4: Simplify right side
    189,824x = 75,594,203,136
  5. Step 5: Solve for x
    x = 75,594,203,136/189,824
  6. Step 6: Final answer
    x = 398,233.12

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.