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Finding the Third Proportional to 22,923 and 33,490.13

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Solution

The third proportional to 22,923 and 33,490.13 is: 48,928.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,923 : 33,490.13 = 33,490.13 : x
  2. Step 2: Convert to fraction form
    22,923/33,490.13 = 33,490.13/x
  3. Step 3: Cross multiply
    22,923x = 33,490.13 × 33,490.13
  4. Step 4: Simplify right side
    22,923x = 1,121,588,472.52
  5. Step 5: Solve for x
    x = 1,121,588,472.52/22,923
  6. Step 6: Final answer
    x = 48,928.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.