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Finding the Third Proportional to 8,582.18 and 13,120.60

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Solution

The third proportional to 8,582.18 and 13,120.60 is: 20,059.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.18 : 13,120.60 = 13,120.60 : x
  2. Step 2: Convert to fraction form
    8,582.18/13,120.60 = 13,120.60/x
  3. Step 3: Cross multiply
    8,582.18x = 13,120.60 × 13,120.60
  4. Step 4: Simplify right side
    8,582.18x = 172,150,102.88
  5. Step 5: Solve for x
    x = 172,150,102.88/8,582.18
  6. Step 6: Final answer
    x = 20,059.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.