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Finding the Third Proportional to 128,463 and 284,463

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Solution

The third proportional to 128,463 and 284,463 is: 629,902.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,463 : 284,463 = 284,463 : x
  2. Step 2: Convert to fraction form
    128,463/284,463 = 284,463/x
  3. Step 3: Cross multiply
    128,463x = 284,463 × 284,463
  4. Step 4: Simplify right side
    128,463x = 80,919,198,369
  5. Step 5: Solve for x
    x = 80,919,198,369/128,463
  6. Step 6: Final answer
    x = 629,902.76

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.