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Finding the Third Proportional to 260,078 and 408,089

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Solution

The third proportional to 260,078 and 408,089 is: 640,333.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,078 : 408,089 = 408,089 : x
  2. Step 2: Convert to fraction form
    260,078/408,089 = 408,089/x
  3. Step 3: Cross multiply
    260,078x = 408,089 × 408,089
  4. Step 4: Simplify right side
    260,078x = 166,536,631,921
  5. Step 5: Solve for x
    x = 166,536,631,921/260,078
  6. Step 6: Final answer
    x = 640,333.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.