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Finding the Third Proportional to 1,577,452.22 and 3,431,290.36

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Solution

The third proportional to 1,577,452.22 and 3,431,290.36 is: 7,463,778.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,452.22 : 3,431,290.36 = 3,431,290.36 : x
  2. Step 2: Convert to fraction form
    1,577,452.22/3,431,290.36 = 3,431,290.36/x
  3. Step 3: Cross multiply
    1,577,452.22x = 3,431,290.36 × 3,431,290.36
  4. Step 4: Simplify right side
    1,577,452.22x = 11,773,753,530,339.82
  5. Step 5: Solve for x
    x = 11,773,753,530,339.82/1,577,452.22
  6. Step 6: Final answer
    x = 7,463,778.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.