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Finding the Third Proportional to 9,134.44 and 20,047.08

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Solution

The third proportional to 9,134.44 and 20,047.08 is: 43,996.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.44 : 20,047.08 = 20,047.08 : x
  2. Step 2: Convert to fraction form
    9,134.44/20,047.08 = 20,047.08/x
  3. Step 3: Cross multiply
    9,134.44x = 20,047.08 × 20,047.08
  4. Step 4: Simplify right side
    9,134.44x = 401,885,341.35
  5. Step 5: Solve for x
    x = 401,885,341.35/9,134.44
  6. Step 6: Final answer
    x = 43,996.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.