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Finding the Third Proportional to 902,640 and 1,982,420

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Solution

The third proportional to 902,640 and 1,982,420 is: 4,353,883.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,640 : 1,982,420 = 1,982,420 : x
  2. Step 2: Convert to fraction form
    902,640/1,982,420 = 1,982,420/x
  3. Step 3: Cross multiply
    902,640x = 1,982,420 × 1,982,420
  4. Step 4: Simplify right side
    902,640x = 3,929,989,056,400
  5. Step 5: Solve for x
    x = 3,929,989,056,400/902,640
  6. Step 6: Final answer
    x = 4,353,883.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.