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Finding the Third Proportional to 7,812 and 18,068

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Solution

The third proportional to 7,812 and 18,068 is: 41,788.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812 : 18,068 = 18,068 : x
  2. Step 2: Convert to fraction form
    7,812/18,068 = 18,068/x
  3. Step 3: Cross multiply
    7,812x = 18,068 × 18,068
  4. Step 4: Simplify right side
    7,812x = 326,452,624
  5. Step 5: Solve for x
    x = 326,452,624/7,812
  6. Step 6: Final answer
    x = 41,788.61

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.