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Finding the Third Proportional to 311,441.75 and 480,964.75

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Solution

The third proportional to 311,441.75 and 480,964.75 is: 742,761.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,441.75 : 480,964.75 = 480,964.75 : x
  2. Step 2: Convert to fraction form
    311,441.75/480,964.75 = 480,964.75/x
  3. Step 3: Cross multiply
    311,441.75x = 480,964.75 × 480,964.75
  4. Step 4: Simplify right side
    311,441.75x = 231,327,090,742.56
  5. Step 5: Solve for x
    x = 231,327,090,742.56/311,441.75
  6. Step 6: Final answer
    x = 742,761.98

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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.