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Finding the Third Proportional to 4,388.34 and 6,638.20

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Solution

The third proportional to 4,388.34 and 6,638.20 is: 10,041.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,388.34 : 6,638.20 = 6,638.20 : x
  2. Step 2: Convert to fraction form
    4,388.34/6,638.20 = 6,638.20/x
  3. Step 3: Cross multiply
    4,388.34x = 6,638.20 × 6,638.20
  4. Step 4: Simplify right side
    4,388.34x = 44,065,740.73
  5. Step 5: Solve for x
    x = 44,065,740.73/4,388.34
  6. Step 6: Final answer
    x = 10,041.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.