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Finding the Third Proportional to 313,928 and 480,108

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Solution

The third proportional to 313,928 and 480,108 is: 734,256.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,928 : 480,108 = 480,108 : x
  2. Step 2: Convert to fraction form
    313,928/480,108 = 480,108/x
  3. Step 3: Cross multiply
    313,928x = 480,108 × 480,108
  4. Step 4: Simplify right side
    313,928x = 230,503,691,664
  5. Step 5: Solve for x
    x = 230,503,691,664/313,928
  6. Step 6: Final answer
    x = 734,256.55

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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.