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Finding the Third Proportional to 436,417 and 677,325

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Solution

The third proportional to 436,417 and 677,325 is: 1,051,217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,417 : 677,325 = 677,325 : x
  2. Step 2: Convert to fraction form
    436,417/677,325 = 677,325/x
  3. Step 3: Cross multiply
    436,417x = 677,325 × 677,325
  4. Step 4: Simplify right side
    436,417x = 458,769,155,625
  5. Step 5: Solve for x
    x = 458,769,155,625/436,417
  6. Step 6: Final answer
    x = 1,051,217.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.