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Finding the Third Proportional to 9,030.38 and 11,982.38

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Solution

The third proportional to 9,030.38 and 11,982.38 is: 15,899.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,030.38 : 11,982.38 = 11,982.38 : x
  2. Step 2: Convert to fraction form
    9,030.38/11,982.38 = 11,982.38/x
  3. Step 3: Cross multiply
    9,030.38x = 11,982.38 × 11,982.38
  4. Step 4: Simplify right side
    9,030.38x = 143,577,310.64
  5. Step 5: Solve for x
    x = 143,577,310.64/9,030.38
  6. Step 6: Final answer
    x = 15,899.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.