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Finding the Third Proportional to 178,734 and 263,940

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Solution

The third proportional to 178,734 and 263,940 is: 389,765.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,734 : 263,940 = 263,940 : x
  2. Step 2: Convert to fraction form
    178,734/263,940 = 263,940/x
  3. Step 3: Cross multiply
    178,734x = 263,940 × 263,940
  4. Step 4: Simplify right side
    178,734x = 69,664,323,600
  5. Step 5: Solve for x
    x = 69,664,323,600/178,734
  6. Step 6: Final answer
    x = 389,765.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.