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Finding the Third Proportional to 11,453.27 and 22,433.84

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Solution

The third proportional to 11,453.27 and 22,433.84 is: 43,941.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453.27 : 22,433.84 = 22,433.84 : x
  2. Step 2: Convert to fraction form
    11,453.27/22,433.84 = 22,433.84/x
  3. Step 3: Cross multiply
    11,453.27x = 22,433.84 × 22,433.84
  4. Step 4: Simplify right side
    11,453.27x = 503,276,994.87
  5. Step 5: Solve for x
    x = 503,276,994.87/11,453.27
  6. Step 6: Final answer
    x = 43,941.76

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.