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Finding the Third Proportional to 288,817 and 644,041

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Solution

The third proportional to 288,817 and 644,041 is: 1,436,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,817 : 644,041 = 644,041 : x
  2. Step 2: Convert to fraction form
    288,817/644,041 = 644,041/x
  3. Step 3: Cross multiply
    288,817x = 644,041 × 644,041
  4. Step 4: Simplify right side
    288,817x = 414,788,809,681
  5. Step 5: Solve for x
    x = 414,788,809,681/288,817
  6. Step 6: Final answer
    x = 1,436,164.80

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.