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Finding the Third Proportional to 178,302 and 276,974

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Solution

The third proportional to 178,302 and 276,974 is: 430,250.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,302 : 276,974 = 276,974 : x
  2. Step 2: Convert to fraction form
    178,302/276,974 = 276,974/x
  3. Step 3: Cross multiply
    178,302x = 276,974 × 276,974
  4. Step 4: Simplify right side
    178,302x = 76,714,596,676
  5. Step 5: Solve for x
    x = 76,714,596,676/178,302
  6. Step 6: Final answer
    x = 430,250.90

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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.