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Finding the Third Proportional to 206,172 and 290,330

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Solution

The third proportional to 206,172 and 290,330 is: 408,840.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,172 : 290,330 = 290,330 : x
  2. Step 2: Convert to fraction form
    206,172/290,330 = 290,330/x
  3. Step 3: Cross multiply
    206,172x = 290,330 × 290,330
  4. Step 4: Simplify right side
    206,172x = 84,291,508,900
  5. Step 5: Solve for x
    x = 84,291,508,900/206,172
  6. Step 6: Final answer
    x = 408,840.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.