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Finding the Third Proportional to 351,906 and 782,324

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Solution

The third proportional to 351,906 and 782,324 is: 1,739,188.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,906 : 782,324 = 782,324 : x
  2. Step 2: Convert to fraction form
    351,906/782,324 = 782,324/x
  3. Step 3: Cross multiply
    351,906x = 782,324 × 782,324
  4. Step 4: Simplify right side
    351,906x = 612,030,840,976
  5. Step 5: Solve for x
    x = 612,030,840,976/351,906
  6. Step 6: Final answer
    x = 1,739,188.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.