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Finding the Third Proportional to 188,622 and 406,638

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Solution

The third proportional to 188,622 and 406,638 is: 876,644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,622 : 406,638 = 406,638 : x
  2. Step 2: Convert to fraction form
    188,622/406,638 = 406,638/x
  3. Step 3: Cross multiply
    188,622x = 406,638 × 406,638
  4. Step 4: Simplify right side
    188,622x = 165,354,463,044
  5. Step 5: Solve for x
    x = 165,354,463,044/188,622
  6. Step 6: Final answer
    x = 876,644.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.