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Finding the Third Proportional to 681,605 and 1,433,721

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Solution

The third proportional to 681,605 and 1,433,721 is: 3,015,758.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,605 : 1,433,721 = 1,433,721 : x
  2. Step 2: Convert to fraction form
    681,605/1,433,721 = 1,433,721/x
  3. Step 3: Cross multiply
    681,605x = 1,433,721 × 1,433,721
  4. Step 4: Simplify right side
    681,605x = 2,055,555,905,841
  5. Step 5: Solve for x
    x = 2,055,555,905,841/681,605
  6. Step 6: Final answer
    x = 3,015,758.26

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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.