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Finding the Third Proportional to 129,606 and 284,556

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Solution

The third proportional to 129,606 and 284,556 is: 624,755.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,606 : 284,556 = 284,556 : x
  2. Step 2: Convert to fraction form
    129,606/284,556 = 284,556/x
  3. Step 3: Cross multiply
    129,606x = 284,556 × 284,556
  4. Step 4: Simplify right side
    129,606x = 80,972,117,136
  5. Step 5: Solve for x
    x = 80,972,117,136/129,606
  6. Step 6: Final answer
    x = 624,755.93

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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.