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Finding the Third Proportional to 412,140 and 874,824

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Solution

The third proportional to 412,140 and 874,824 is: 1,856,934.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,140 : 874,824 = 874,824 : x
  2. Step 2: Convert to fraction form
    412,140/874,824 = 874,824/x
  3. Step 3: Cross multiply
    412,140x = 874,824 × 874,824
  4. Step 4: Simplify right side
    412,140x = 765,317,030,976
  5. Step 5: Solve for x
    x = 765,317,030,976/412,140
  6. Step 6: Final answer
    x = 1,856,934.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.