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Finding the Third Proportional to 310,508 and 480,936

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Solution

The third proportional to 310,508 and 480,936 is: 744,906.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,508 : 480,936 = 480,936 : x
  2. Step 2: Convert to fraction form
    310,508/480,936 = 480,936/x
  3. Step 3: Cross multiply
    310,508x = 480,936 × 480,936
  4. Step 4: Simplify right side
    310,508x = 231,299,436,096
  5. Step 5: Solve for x
    x = 231,299,436,096/310,508
  6. Step 6: Final answer
    x = 744,906.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.