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Finding the Third Proportional to 178,568 and 276,722

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Solution

The third proportional to 178,568 and 276,722 is: 428,828.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,568 : 276,722 = 276,722 : x
  2. Step 2: Convert to fraction form
    178,568/276,722 = 276,722/x
  3. Step 3: Cross multiply
    178,568x = 276,722 × 276,722
  4. Step 4: Simplify right side
    178,568x = 76,575,065,284
  5. Step 5: Solve for x
    x = 76,575,065,284/178,568
  6. Step 6: Final answer
    x = 428,828.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.