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Finding the Third Proportional to 213,728 and 303,792

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Solution

The third proportional to 213,728 and 303,792 is: 431,808.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,728 : 303,792 = 303,792 : x
  2. Step 2: Convert to fraction form
    213,728/303,792 = 303,792/x
  3. Step 3: Cross multiply
    213,728x = 303,792 × 303,792
  4. Step 4: Simplify right side
    213,728x = 92,289,579,264
  5. Step 5: Solve for x
    x = 92,289,579,264/213,728
  6. Step 6: Final answer
    x = 431,808.56

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.