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Finding the Third Proportional to 5,538.22 and 8,220.47

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Solution

The third proportional to 5,538.22 and 8,220.47 is: 12,201.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.22 : 8,220.47 = 8,220.47 : x
  2. Step 2: Convert to fraction form
    5,538.22/8,220.47 = 8,220.47/x
  3. Step 3: Cross multiply
    5,538.22x = 8,220.47 × 8,220.47
  4. Step 4: Simplify right side
    5,538.22x = 67,576,154.64
  5. Step 5: Solve for x
    x = 67,576,154.64/5,538.22
  6. Step 6: Final answer
    x = 12,201.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.