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Finding the Third Proportional to 309,923 and 436,432

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Solution

The third proportional to 309,923 and 436,432 is: 614,581.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,923 : 436,432 = 436,432 : x
  2. Step 2: Convert to fraction form
    309,923/436,432 = 436,432/x
  3. Step 3: Cross multiply
    309,923x = 436,432 × 436,432
  4. Step 4: Simplify right side
    309,923x = 190,472,890,624
  5. Step 5: Solve for x
    x = 190,472,890,624/309,923
  6. Step 6: Final answer
    x = 614,581.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.