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Finding the Third Proportional to 300,842 and 451,328

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Solution

The third proportional to 300,842 and 451,328 is: 677,089.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,842 : 451,328 = 451,328 : x
  2. Step 2: Convert to fraction form
    300,842/451,328 = 451,328/x
  3. Step 3: Cross multiply
    300,842x = 451,328 × 451,328
  4. Step 4: Simplify right side
    300,842x = 203,696,963,584
  5. Step 5: Solve for x
    x = 203,696,963,584/300,842
  6. Step 6: Final answer
    x = 677,089.51

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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.