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Finding the Third Proportional to 3,583.41 and 4,125.09

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Solution

The third proportional to 3,583.41 and 4,125.09 is: 4,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.41 : 4,125.09 = 4,125.09 : x
  2. Step 2: Convert to fraction form
    3,583.41/4,125.09 = 4,125.09/x
  3. Step 3: Cross multiply
    3,583.41x = 4,125.09 × 4,125.09
  4. Step 4: Simplify right side
    3,583.41x = 17,016,398.45
  5. Step 5: Solve for x
    x = 17,016,398.45/3,583.41
  6. Step 6: Final answer
    x = 4,748.67

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.