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Finding the Third Proportional to 355,636 and 775,180

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Solution

The third proportional to 355,636 and 775,180 is: 1,689,660.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,636 : 775,180 = 775,180 : x
  2. Step 2: Convert to fraction form
    355,636/775,180 = 775,180/x
  3. Step 3: Cross multiply
    355,636x = 775,180 × 775,180
  4. Step 4: Simplify right side
    355,636x = 600,904,032,400
  5. Step 5: Solve for x
    x = 600,904,032,400/355,636
  6. Step 6: Final answer
    x = 1,689,660.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.