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Finding the Third Proportional to 310,956 and 480,176

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Solution

The third proportional to 310,956 and 480,176 is: 741,484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,956 : 480,176 = 480,176 : x
  2. Step 2: Convert to fraction form
    310,956/480,176 = 480,176/x
  3. Step 3: Cross multiply
    310,956x = 480,176 × 480,176
  4. Step 4: Simplify right side
    310,956x = 230,568,990,976
  5. Step 5: Solve for x
    x = 230,568,990,976/310,956
  6. Step 6: Final answer
    x = 741,484.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.