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Finding the Third Proportional to 3,775 and 7,815.50

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Solution

The third proportional to 3,775 and 7,815.50 is: 16,180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775 : 7,815.50 = 7,815.50 : x
  2. Step 2: Convert to fraction form
    3,775/7,815.50 = 7,815.50/x
  3. Step 3: Cross multiply
    3,775x = 7,815.50 × 7,815.50
  4. Step 4: Simplify right side
    3,775x = 61,082,040.25
  5. Step 5: Solve for x
    x = 61,082,040.25/3,775
  6. Step 6: Final answer
    x = 16,180.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.