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Finding the Third Proportional to 7,176 and 10,218

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Solution

The third proportional to 7,176 and 10,218 is: 14,549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176 : 10,218 = 10,218 : x
  2. Step 2: Convert to fraction form
    7,176/10,218 = 10,218/x
  3. Step 3: Cross multiply
    7,176x = 10,218 × 10,218
  4. Step 4: Simplify right side
    7,176x = 104,407,524
  5. Step 5: Solve for x
    x = 104,407,524/7,176
  6. Step 6: Final answer
    x = 14,549.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.