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Finding the Third Proportional to 9,975 and 12,135

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Solution

The third proportional to 9,975 and 12,135 is: 14,762.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975 : 12,135 = 12,135 : x
  2. Step 2: Convert to fraction form
    9,975/12,135 = 12,135/x
  3. Step 3: Cross multiply
    9,975x = 12,135 × 12,135
  4. Step 4: Simplify right side
    9,975x = 147,258,225
  5. Step 5: Solve for x
    x = 147,258,225/9,975
  6. Step 6: Final answer
    x = 14,762.73

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.