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Finding the Third Proportional to 206,819 and 302,018

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Solution

The third proportional to 206,819 and 302,018 is: 441,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,819 : 302,018 = 302,018 : x
  2. Step 2: Convert to fraction form
    206,819/302,018 = 302,018/x
  3. Step 3: Cross multiply
    206,819x = 302,018 × 302,018
  4. Step 4: Simplify right side
    206,819x = 91,214,872,324
  5. Step 5: Solve for x
    x = 91,214,872,324/206,819
  6. Step 6: Final answer
    x = 441,037.20

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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.