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Finding the Third Proportional to 129,292.50 and 284,505

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Solution

The third proportional to 129,292.50 and 284,505 is: 626,046.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,292.50 : 284,505 = 284,505 : x
  2. Step 2: Convert to fraction form
    129,292.50/284,505 = 284,505/x
  3. Step 3: Cross multiply
    129,292.50x = 284,505 × 284,505
  4. Step 4: Simplify right side
    129,292.50x = 80,943,095,025
  5. Step 5: Solve for x
    x = 80,943,095,025/129,292.50
  6. Step 6: Final answer
    x = 626,046.33

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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.