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Finding the Third Proportional to 3,830.63 and 5,420.67

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Solution

The third proportional to 3,830.63 and 5,420.67 is: 7,670.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.63 : 5,420.67 = 5,420.67 : x
  2. Step 2: Convert to fraction form
    3,830.63/5,420.67 = 5,420.67/x
  3. Step 3: Cross multiply
    3,830.63x = 5,420.67 × 5,420.67
  4. Step 4: Simplify right side
    3,830.63x = 29,383,683.58
  5. Step 5: Solve for x
    x = 29,383,683.58/3,830.63
  6. Step 6: Final answer
    x = 7,670.73

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.