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Finding the Third Proportional to 30,880 and 62,851

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Solution

The third proportional to 30,880 and 62,851 is: 127,922.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,880 : 62,851 = 62,851 : x
  2. Step 2: Convert to fraction form
    30,880/62,851 = 62,851/x
  3. Step 3: Cross multiply
    30,880x = 62,851 × 62,851
  4. Step 4: Simplify right side
    30,880x = 3,950,248,201
  5. Step 5: Solve for x
    x = 3,950,248,201/30,880
  6. Step 6: Final answer
    x = 127,922.55

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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.