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Finding the Third Proportional to 129,644 and 284,632

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Solution

The third proportional to 129,644 and 284,632 is: 624,906.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,644 : 284,632 = 284,632 : x
  2. Step 2: Convert to fraction form
    129,644/284,632 = 284,632/x
  3. Step 3: Cross multiply
    129,644x = 284,632 × 284,632
  4. Step 4: Simplify right side
    129,644x = 81,015,375,424
  5. Step 5: Solve for x
    x = 81,015,375,424/129,644
  6. Step 6: Final answer
    x = 624,906.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.