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Finding the Third Proportional to 1,542,406.50 and 3,342,229.31

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Solution

The third proportional to 1,542,406.50 and 3,342,229.31 is: 7,242,252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542,406.50 : 3,342,229.31 = 3,342,229.31 : x
  2. Step 2: Convert to fraction form
    1,542,406.50/3,342,229.31 = 3,342,229.31/x
  3. Step 3: Cross multiply
    1,542,406.50x = 3,342,229.31 × 3,342,229.31
  4. Step 4: Simplify right side
    1,542,406.50x = 11,170,496,777,334.22
  5. Step 5: Solve for x
    x = 11,170,496,777,334.22/1,542,406.50
  6. Step 6: Final answer
    x = 7,242,252.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.