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Finding the Third Proportional to 30,722 and 62,728

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Solution

The third proportional to 30,722 and 62,728 is: 128,077.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,722 : 62,728 = 62,728 : x
  2. Step 2: Convert to fraction form
    30,722/62,728 = 62,728/x
  3. Step 3: Cross multiply
    30,722x = 62,728 × 62,728
  4. Step 4: Simplify right side
    30,722x = 3,934,801,984
  5. Step 5: Solve for x
    x = 3,934,801,984/30,722
  6. Step 6: Final answer
    x = 128,077.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.