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Finding the Third Proportional to 192,302 and 406,768

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Solution

The third proportional to 192,302 and 406,768 is: 860,418.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,302 : 406,768 = 406,768 : x
  2. Step 2: Convert to fraction form
    192,302/406,768 = 406,768/x
  3. Step 3: Cross multiply
    192,302x = 406,768 × 406,768
  4. Step 4: Simplify right side
    192,302x = 165,460,205,824
  5. Step 5: Solve for x
    x = 165,460,205,824/192,302
  6. Step 6: Final answer
    x = 860,418.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.