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Finding the Third Proportional to 197,728 and 409,482

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Solution

The third proportional to 197,728 and 409,482 is: 848,010.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,728 : 409,482 = 409,482 : x
  2. Step 2: Convert to fraction form
    197,728/409,482 = 409,482/x
  3. Step 3: Cross multiply
    197,728x = 409,482 × 409,482
  4. Step 4: Simplify right side
    197,728x = 167,675,508,324
  5. Step 5: Solve for x
    x = 167,675,508,324/197,728
  6. Step 6: Final answer
    x = 848,010.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.