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Finding the Third Proportional to 128,664 and 283,505

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Solution

The third proportional to 128,664 and 283,505 is: 624,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,664 : 283,505 = 283,505 : x
  2. Step 2: Convert to fraction form
    128,664/283,505 = 283,505/x
  3. Step 3: Cross multiply
    128,664x = 283,505 × 283,505
  4. Step 4: Simplify right side
    128,664x = 80,375,085,025
  5. Step 5: Solve for x
    x = 80,375,085,025/128,664
  6. Step 6: Final answer
    x = 624,689.77

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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.