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Finding the Third Proportional to 301,376.50 and 644,698

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Solution

The third proportional to 301,376.50 and 644,698 is: 1,379,123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,376.50 : 644,698 = 644,698 : x
  2. Step 2: Convert to fraction form
    301,376.50/644,698 = 644,698/x
  3. Step 3: Cross multiply
    301,376.50x = 644,698 × 644,698
  4. Step 4: Simplify right side
    301,376.50x = 415,635,511,204
  5. Step 5: Solve for x
    x = 415,635,511,204/301,376.50
  6. Step 6: Final answer
    x = 1,379,123.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.