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Finding the Third Proportional to 3,647,133.75 and 8,442,465.38

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Solution

The third proportional to 3,647,133.75 and 8,442,465.38 is: 19,542,804.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647,133.75 : 8,442,465.38 = 8,442,465.38 : x
  2. Step 2: Convert to fraction form
    3,647,133.75/8,442,465.38 = 8,442,465.38/x
  3. Step 3: Cross multiply
    3,647,133.75x = 8,442,465.38 × 8,442,465.38
  4. Step 4: Simplify right side
    3,647,133.75x = 71,275,221,608,073.89
  5. Step 5: Solve for x
    x = 71,275,221,608,073.89/3,647,133.75
  6. Step 6: Final answer
    x = 19,542,804.43

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.