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Finding the Third Proportional to 298,866 and 644,961

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Solution

The third proportional to 298,866 and 644,961 is: 1,391,843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,866 : 644,961 = 644,961 : x
  2. Step 2: Convert to fraction form
    298,866/644,961 = 644,961/x
  3. Step 3: Cross multiply
    298,866x = 644,961 × 644,961
  4. Step 4: Simplify right side
    298,866x = 415,974,691,521
  5. Step 5: Solve for x
    x = 415,974,691,521/298,866
  6. Step 6: Final answer
    x = 1,391,843.47

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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.