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Finding the Third Proportional to 1,622 and 3,885.50

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Solution

The third proportional to 1,622 and 3,885.50 is: 9,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622 : 3,885.50 = 3,885.50 : x
  2. Step 2: Convert to fraction form
    1,622/3,885.50 = 3,885.50/x
  3. Step 3: Cross multiply
    1,622x = 3,885.50 × 3,885.50
  4. Step 4: Simplify right side
    1,622x = 15,097,110.25
  5. Step 5: Solve for x
    x = 15,097,110.25/1,622
  6. Step 6: Final answer
    x = 9,307.71

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.