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Finding the Third Proportional to 350,928 and 488,946

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Solution

The third proportional to 350,928 and 488,946 is: 681,245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,928 : 488,946 = 488,946 : x
  2. Step 2: Convert to fraction form
    350,928/488,946 = 488,946/x
  3. Step 3: Cross multiply
    350,928x = 488,946 × 488,946
  4. Step 4: Simplify right side
    350,928x = 239,068,190,916
  5. Step 5: Solve for x
    x = 239,068,190,916/350,928
  6. Step 6: Final answer
    x = 681,245.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.