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Finding the Third Proportional to 445,800 and 677,220

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Solution

The third proportional to 445,800 and 677,220 is: 1,028,772.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,800 : 677,220 = 677,220 : x
  2. Step 2: Convert to fraction form
    445,800/677,220 = 677,220/x
  3. Step 3: Cross multiply
    445,800x = 677,220 × 677,220
  4. Step 4: Simplify right side
    445,800x = 458,626,928,400
  5. Step 5: Solve for x
    x = 458,626,928,400/445,800
  6. Step 6: Final answer
    x = 1,028,772.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.