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Finding the Third Proportional to 311,168 and 480,573

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Solution

The third proportional to 311,168 and 480,573 is: 742,204.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,168 : 480,573 = 480,573 : x
  2. Step 2: Convert to fraction form
    311,168/480,573 = 480,573/x
  3. Step 3: Cross multiply
    311,168x = 480,573 × 480,573
  4. Step 4: Simplify right side
    311,168x = 230,950,408,329
  5. Step 5: Solve for x
    x = 230,950,408,329/311,168
  6. Step 6: Final answer
    x = 742,204.88

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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.