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Finding the Third Proportional to 30,223 and 65,823

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Solution

The third proportional to 30,223 and 65,823 is: 143,356.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,223 : 65,823 = 65,823 : x
  2. Step 2: Convert to fraction form
    30,223/65,823 = 65,823/x
  3. Step 3: Cross multiply
    30,223x = 65,823 × 65,823
  4. Step 4: Simplify right side
    30,223x = 4,332,667,329
  5. Step 5: Solve for x
    x = 4,332,667,329/30,223
  6. Step 6: Final answer
    x = 143,356.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.