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Finding the Third Proportional to 7,822.69 and 12,129.19

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Solution

The third proportional to 7,822.69 and 12,129.19 is: 18,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.69 : 12,129.19 = 12,129.19 : x
  2. Step 2: Convert to fraction form
    7,822.69/12,129.19 = 12,129.19/x
  3. Step 3: Cross multiply
    7,822.69x = 12,129.19 × 12,129.19
  4. Step 4: Simplify right side
    7,822.69x = 147,117,189.41
  5. Step 5: Solve for x
    x = 147,117,189.41/7,822.69
  6. Step 6: Final answer
    x = 18,806.48

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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.