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Finding the Third Proportional to 300,835 and 451,319

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Solution

The third proportional to 300,835 and 451,319 is: 677,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,835 : 451,319 = 451,319 : x
  2. Step 2: Convert to fraction form
    300,835/451,319 = 451,319/x
  3. Step 3: Cross multiply
    300,835x = 451,319 × 451,319
  4. Step 4: Simplify right side
    300,835x = 203,688,839,761
  5. Step 5: Solve for x
    x = 203,688,839,761/300,835
  6. Step 6: Final answer
    x = 677,078.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.