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Finding the Third Proportional to 7,831 and 12,130

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Solution

The third proportional to 7,831 and 12,130 is: 18,789.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831 : 12,130 = 12,130 : x
  2. Step 2: Convert to fraction form
    7,831/12,130 = 12,130/x
  3. Step 3: Cross multiply
    7,831x = 12,130 × 12,130
  4. Step 4: Simplify right side
    7,831x = 147,136,900
  5. Step 5: Solve for x
    x = 147,136,900/7,831
  6. Step 6: Final answer
    x = 18,789.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.