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Finding the Third Proportional to 7,811.44 and 12,423.38

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Solution

The third proportional to 7,811.44 and 12,423.38 is: 19,758.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.44 : 12,423.38 = 12,423.38 : x
  2. Step 2: Convert to fraction form
    7,811.44/12,423.38 = 12,423.38/x
  3. Step 3: Cross multiply
    7,811.44x = 12,423.38 × 12,423.38
  4. Step 4: Simplify right side
    7,811.44x = 154,340,246.39
  5. Step 5: Solve for x
    x = 154,340,246.39/7,811.44
  6. Step 6: Final answer
    x = 19,758.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.