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Finding the Third Proportional to 4,005.40 and 8,627.12

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Solution

The third proportional to 4,005.40 and 8,627.12 is: 18,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.40 : 8,627.12 = 8,627.12 : x
  2. Step 2: Convert to fraction form
    4,005.40/8,627.12 = 8,627.12/x
  3. Step 3: Cross multiply
    4,005.40x = 8,627.12 × 8,627.12
  4. Step 4: Simplify right side
    4,005.40x = 74,427,117.27
  5. Step 5: Solve for x
    x = 74,427,117.27/4,005.40
  6. Step 6: Final answer
    x = 18,581.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.