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Finding the Third Proportional to 30,222 and 65,821

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Solution

The third proportional to 30,222 and 65,821 is: 143,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,222 : 65,821 = 65,821 : x
  2. Step 2: Convert to fraction form
    30,222/65,821 = 65,821/x
  3. Step 3: Cross multiply
    30,222x = 65,821 × 65,821
  4. Step 4: Simplify right side
    30,222x = 4,332,404,041
  5. Step 5: Solve for x
    x = 4,332,404,041/30,222
  6. Step 6: Final answer
    x = 143,352.66

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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.