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Finding the Third Proportional to 311,150.74 and 480,544.37

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Solution

The third proportional to 311,150.74 and 480,544.37 is: 742,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,150.74 : 480,544.37 = 480,544.37 : x
  2. Step 2: Convert to fraction form
    311,150.74/480,544.37 = 480,544.37/x
  3. Step 3: Cross multiply
    311,150.74x = 480,544.37 × 480,544.37
  4. Step 4: Simplify right side
    311,150.74x = 230,922,886,958.51
  5. Step 5: Solve for x
    x = 230,922,886,958.51/311,150.74
  6. Step 6: Final answer
    x = 742,157.60

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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.