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Finding the Third Proportional to 128,820 and 271,728

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Solution

The third proportional to 128,820 and 271,728 is: 573,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,820 : 271,728 = 271,728 : x
  2. Step 2: Convert to fraction form
    128,820/271,728 = 271,728/x
  3. Step 3: Cross multiply
    128,820x = 271,728 × 271,728
  4. Step 4: Simplify right side
    128,820x = 73,836,105,984
  5. Step 5: Solve for x
    x = 73,836,105,984/128,820
  6. Step 6: Final answer
    x = 573,172.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.