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Finding the Third Proportional to 646,809 and 1,360,638

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Solution

The third proportional to 646,809 and 1,360,638 is: 2,862,260.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,809 : 1,360,638 = 1,360,638 : x
  2. Step 2: Convert to fraction form
    646,809/1,360,638 = 1,360,638/x
  3. Step 3: Cross multiply
    646,809x = 1,360,638 × 1,360,638
  4. Step 4: Simplify right side
    646,809x = 1,851,335,767,044
  5. Step 5: Solve for x
    x = 1,851,335,767,044/646,809
  6. Step 6: Final answer
    x = 2,862,260.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.