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Finding the Third Proportional to 300,354 and 419,913

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Solution

The third proportional to 300,354 and 419,913 is: 587,063.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,354 : 419,913 = 419,913 : x
  2. Step 2: Convert to fraction form
    300,354/419,913 = 419,913/x
  3. Step 3: Cross multiply
    300,354x = 419,913 × 419,913
  4. Step 4: Simplify right side
    300,354x = 176,326,927,569
  5. Step 5: Solve for x
    x = 176,326,927,569/300,354
  6. Step 6: Final answer
    x = 587,063.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.