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Finding the Third Proportional to 4,140 and 8,765.44

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Solution

The third proportional to 4,140 and 8,765.44 is: 18,558.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140 : 8,765.44 = 8,765.44 : x
  2. Step 2: Convert to fraction form
    4,140/8,765.44 = 8,765.44/x
  3. Step 3: Cross multiply
    4,140x = 8,765.44 × 8,765.44
  4. Step 4: Simplify right side
    4,140x = 76,832,894.57
  5. Step 5: Solve for x
    x = 76,832,894.57/4,140
  6. Step 6: Final answer
    x = 18,558.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.