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Finding the Third Proportional to 197,872 and 276,792

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Solution

The third proportional to 197,872 and 276,792 is: 387,188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,872 : 276,792 = 276,792 : x
  2. Step 2: Convert to fraction form
    197,872/276,792 = 276,792/x
  3. Step 3: Cross multiply
    197,872x = 276,792 × 276,792
  4. Step 4: Simplify right side
    197,872x = 76,613,811,264
  5. Step 5: Solve for x
    x = 76,613,811,264/197,872
  6. Step 6: Final answer
    x = 387,188.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.