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Finding the Third Proportional to 206,212 and 309,222

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Solution

The third proportional to 206,212 and 309,222 is: 463,689.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,212 : 309,222 = 309,222 : x
  2. Step 2: Convert to fraction form
    206,212/309,222 = 309,222/x
  3. Step 3: Cross multiply
    206,212x = 309,222 × 309,222
  4. Step 4: Simplify right side
    206,212x = 95,618,245,284
  5. Step 5: Solve for x
    x = 95,618,245,284/206,212
  6. Step 6: Final answer
    x = 463,689.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.