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Finding the Third Proportional to 9,002.75 and 12,119.75

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Solution

The third proportional to 9,002.75 and 12,119.75 is: 16,315.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.75 : 12,119.75 = 12,119.75 : x
  2. Step 2: Convert to fraction form
    9,002.75/12,119.75 = 12,119.75/x
  3. Step 3: Cross multiply
    9,002.75x = 12,119.75 × 12,119.75
  4. Step 4: Simplify right side
    9,002.75x = 146,888,340.06
  5. Step 5: Solve for x
    x = 146,888,340.06/9,002.75
  6. Step 6: Final answer
    x = 16,315.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.