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Finding the Third Proportional to 178,546.50 and 276,689.25

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Solution

The third proportional to 178,546.50 and 276,689.25 is: 428,778.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,546.50 : 276,689.25 = 276,689.25 : x
  2. Step 2: Convert to fraction form
    178,546.50/276,689.25 = 276,689.25/x
  3. Step 3: Cross multiply
    178,546.50x = 276,689.25 × 276,689.25
  4. Step 4: Simplify right side
    178,546.50x = 76,556,941,065.56
  5. Step 5: Solve for x
    x = 76,556,941,065.56/178,546.50
  6. Step 6: Final answer
    x = 428,778.73

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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.