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Finding the Third Proportional to 408,078 and 621,147

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Solution

The third proportional to 408,078 and 621,147 is: 945,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,078 : 621,147 = 621,147 : x
  2. Step 2: Convert to fraction form
    408,078/621,147 = 621,147/x
  3. Step 3: Cross multiply
    408,078x = 621,147 × 621,147
  4. Step 4: Simplify right side
    408,078x = 385,823,595,609
  5. Step 5: Solve for x
    x = 385,823,595,609/408,078
  6. Step 6: Final answer
    x = 945,465.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.