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Finding the Third Proportional to 313,920 and 480,096

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Solution

The third proportional to 313,920 and 480,096 is: 734,238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,920 : 480,096 = 480,096 : x
  2. Step 2: Convert to fraction form
    313,920/480,096 = 480,096/x
  3. Step 3: Cross multiply
    313,920x = 480,096 × 480,096
  4. Step 4: Simplify right side
    313,920x = 230,492,169,216
  5. Step 5: Solve for x
    x = 230,492,169,216/313,920
  6. Step 6: Final answer
    x = 734,238.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.