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Finding the Third Proportional to 288,812 and 644,032

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Solution

The third proportional to 288,812 and 644,032 is: 1,436,149.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,812 : 644,032 = 644,032 : x
  2. Step 2: Convert to fraction form
    288,812/644,032 = 644,032/x
  3. Step 3: Cross multiply
    288,812x = 644,032 × 644,032
  4. Step 4: Simplify right side
    288,812x = 414,777,217,024
  5. Step 5: Solve for x
    x = 414,777,217,024/288,812
  6. Step 6: Final answer
    x = 1,436,149.53

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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.