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Finding the Third Proportional to 206,820 and 302,019

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Solution

The third proportional to 206,820 and 302,019 is: 441,037.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,820 : 302,019 = 302,019 : x
  2. Step 2: Convert to fraction form
    206,820/302,019 = 302,019/x
  3. Step 3: Cross multiply
    206,820x = 302,019 × 302,019
  4. Step 4: Simplify right side
    206,820x = 91,215,476,361
  5. Step 5: Solve for x
    x = 91,215,476,361/206,820
  6. Step 6: Final answer
    x = 441,037.99

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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.