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Finding the Third Proportional to 826,778 and 1,277,621

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Solution

The third proportional to 826,778 and 1,277,621 is: 1,974,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,778 : 1,277,621 = 1,277,621 : x
  2. Step 2: Convert to fraction form
    826,778/1,277,621 = 1,277,621/x
  3. Step 3: Cross multiply
    826,778x = 1,277,621 × 1,277,621
  4. Step 4: Simplify right side
    826,778x = 1,632,315,419,641
  5. Step 5: Solve for x
    x = 1,632,315,419,641/826,778
  6. Step 6: Final answer
    x = 1,974,309.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.