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Finding the Third Proportional to 902,936 and 1,880,608

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Solution

The third proportional to 902,936 and 1,880,608 is: 3,916,873.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,936 : 1,880,608 = 1,880,608 : x
  2. Step 2: Convert to fraction form
    902,936/1,880,608 = 1,880,608/x
  3. Step 3: Cross multiply
    902,936x = 1,880,608 × 1,880,608
  4. Step 4: Simplify right side
    902,936x = 3,536,686,449,664
  5. Step 5: Solve for x
    x = 3,536,686,449,664/902,936
  6. Step 6: Final answer
    x = 3,916,873.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.