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Finding the Third Proportional to 1,830 and 3,880

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Solution

The third proportional to 1,830 and 3,880 is: 8,226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830 : 3,880 = 3,880 : x
  2. Step 2: Convert to fraction form
    1,830/3,880 = 3,880/x
  3. Step 3: Cross multiply
    1,830x = 3,880 × 3,880
  4. Step 4: Simplify right side
    1,830x = 15,054,400
  5. Step 5: Solve for x
    x = 15,054,400/1,830
  6. Step 6: Final answer
    x = 8,226.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.