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Finding the Third Proportional to 289,232 and 644,868

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Solution

The third proportional to 289,232 and 644,868 is: 1,437,789.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,232 : 644,868 = 644,868 : x
  2. Step 2: Convert to fraction form
    289,232/644,868 = 644,868/x
  3. Step 3: Cross multiply
    289,232x = 644,868 × 644,868
  4. Step 4: Simplify right side
    289,232x = 415,854,737,424
  5. Step 5: Solve for x
    x = 415,854,737,424/289,232
  6. Step 6: Final answer
    x = 1,437,789.52

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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.