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Finding the Third Proportional to 206,821 and 302,021

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Solution

The third proportional to 206,821 and 302,021 is: 441,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,821 : 302,021 = 302,021 : x
  2. Step 2: Convert to fraction form
    206,821/302,021 = 302,021/x
  3. Step 3: Cross multiply
    206,821x = 302,021 × 302,021
  4. Step 4: Simplify right side
    206,821x = 91,216,684,441
  5. Step 5: Solve for x
    x = 91,216,684,441/206,821
  6. Step 6: Final answer
    x = 441,041.70

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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.