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Finding the Third Proportional to 120,378 and 284,679

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Solution

The third proportional to 120,378 and 284,679 is: 673,230.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,378 : 284,679 = 284,679 : x
  2. Step 2: Convert to fraction form
    120,378/284,679 = 284,679/x
  3. Step 3: Cross multiply
    120,378x = 284,679 × 284,679
  4. Step 4: Simplify right side
    120,378x = 81,042,133,041
  5. Step 5: Solve for x
    x = 81,042,133,041/120,378
  6. Step 6: Final answer
    x = 673,230.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.