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Finding the Third Proportional to 300,638 and 483,539

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Solution

The third proportional to 300,638 and 483,539 is: 777,712.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,638 : 483,539 = 483,539 : x
  2. Step 2: Convert to fraction form
    300,638/483,539 = 483,539/x
  3. Step 3: Cross multiply
    300,638x = 483,539 × 483,539
  4. Step 4: Simplify right side
    300,638x = 233,809,964,521
  5. Step 5: Solve for x
    x = 233,809,964,521/300,638
  6. Step 6: Final answer
    x = 777,712.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.