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Finding the Third Proportional to 300,738 and 436,893

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Solution

The third proportional to 300,738 and 436,893 is: 634,690.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,738 : 436,893 = 436,893 : x
  2. Step 2: Convert to fraction form
    300,738/436,893 = 436,893/x
  3. Step 3: Cross multiply
    300,738x = 436,893 × 436,893
  4. Step 4: Simplify right side
    300,738x = 190,875,493,449
  5. Step 5: Solve for x
    x = 190,875,493,449/300,738
  6. Step 6: Final answer
    x = 634,690.31

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.