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Finding the Third Proportional to 9,126.42 and 20,234.18

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Solution

The third proportional to 9,126.42 and 20,234.18 is: 44,861.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.42 : 20,234.18 = 20,234.18 : x
  2. Step 2: Convert to fraction form
    9,126.42/20,234.18 = 20,234.18/x
  3. Step 3: Cross multiply
    9,126.42x = 20,234.18 × 20,234.18
  4. Step 4: Simplify right side
    9,126.42x = 409,422,027.63
  5. Step 5: Solve for x
    x = 409,422,027.63/9,126.42
  6. Step 6: Final answer
    x = 44,861.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.