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Finding the Third Proportional to 8,200 and 12,310

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Solution

The third proportional to 8,200 and 12,310 is: 18,480.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200 : 12,310 = 12,310 : x
  2. Step 2: Convert to fraction form
    8,200/12,310 = 12,310/x
  3. Step 3: Cross multiply
    8,200x = 12,310 × 12,310
  4. Step 4: Simplify right side
    8,200x = 151,536,100
  5. Step 5: Solve for x
    x = 151,536,100/8,200
  6. Step 6: Final answer
    x = 18,480.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.