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Finding the Third Proportional to 8,270.02 and 12,481.17

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Solution

The third proportional to 8,270.02 and 12,481.17 is: 18,836.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.02 : 12,481.17 = 12,481.17 : x
  2. Step 2: Convert to fraction form
    8,270.02/12,481.17 = 12,481.17/x
  3. Step 3: Cross multiply
    8,270.02x = 12,481.17 × 12,481.17
  4. Step 4: Simplify right side
    8,270.02x = 155,779,651.37
  5. Step 5: Solve for x
    x = 155,779,651.37/8,270.02
  6. Step 6: Final answer
    x = 18,836.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.