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Finding the Third Proportional to 819,638 and 1,265,809

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Solution

The third proportional to 819,638 and 1,265,809 is: 1,954,853.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,638 : 1,265,809 = 1,265,809 : x
  2. Step 2: Convert to fraction form
    819,638/1,265,809 = 1,265,809/x
  3. Step 3: Cross multiply
    819,638x = 1,265,809 × 1,265,809
  4. Step 4: Simplify right side
    819,638x = 1,602,272,424,481
  5. Step 5: Solve for x
    x = 1,602,272,424,481/819,638
  6. Step 6: Final answer
    x = 1,954,853.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.