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Finding the Third Proportional to 489,412 and 1,083,638

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Solution

The third proportional to 489,412 and 1,083,638 is: 2,399,351.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,412 : 1,083,638 = 1,083,638 : x
  2. Step 2: Convert to fraction form
    489,412/1,083,638 = 1,083,638/x
  3. Step 3: Cross multiply
    489,412x = 1,083,638 × 1,083,638
  4. Step 4: Simplify right side
    489,412x = 1,174,271,315,044
  5. Step 5: Solve for x
    x = 1,174,271,315,044/489,412
  6. Step 6: Final answer
    x = 2,399,351.29

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.