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Finding the Third Proportional to 445,698 and 668,655

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Solution

The third proportional to 445,698 and 668,655 is: 1,003,144.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,698 : 668,655 = 668,655 : x
  2. Step 2: Convert to fraction form
    445,698/668,655 = 668,655/x
  3. Step 3: Cross multiply
    445,698x = 668,655 × 668,655
  4. Step 4: Simplify right side
    445,698x = 447,099,509,025
  5. Step 5: Solve for x
    x = 447,099,509,025/445,698
  6. Step 6: Final answer
    x = 1,003,144.53

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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.