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Finding the Third Proportional to 208,166 and 451,330

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Solution

The third proportional to 208,166 and 451,330 is: 978,540.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,166 : 451,330 = 451,330 : x
  2. Step 2: Convert to fraction form
    208,166/451,330 = 451,330/x
  3. Step 3: Cross multiply
    208,166x = 451,330 × 451,330
  4. Step 4: Simplify right side
    208,166x = 203,698,768,900
  5. Step 5: Solve for x
    x = 203,698,768,900/208,166
  6. Step 6: Final answer
    x = 978,540.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.