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Finding the Third Proportional to 298,682 and 644,866

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Solution

The third proportional to 298,682 and 644,866 is: 1,392,290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,682 : 644,866 = 644,866 : x
  2. Step 2: Convert to fraction form
    298,682/644,866 = 644,866/x
  3. Step 3: Cross multiply
    298,682x = 644,866 × 644,866
  4. Step 4: Simplify right side
    298,682x = 415,852,157,956
  5. Step 5: Solve for x
    x = 415,852,157,956/298,682
  6. Step 6: Final answer
    x = 1,392,290.66

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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.