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Finding the Third Proportional to 5,390.72 and 8,183.32

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Solution

The third proportional to 5,390.72 and 8,183.32 is: 12,422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.72 : 8,183.32 = 8,183.32 : x
  2. Step 2: Convert to fraction form
    5,390.72/8,183.32 = 8,183.32/x
  3. Step 3: Cross multiply
    5,390.72x = 8,183.32 × 8,183.32
  4. Step 4: Simplify right side
    5,390.72x = 66,966,731.34
  5. Step 5: Solve for x
    x = 66,966,731.34/5,390.72
  6. Step 6: Final answer
    x = 12,422.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.