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Finding the Third Proportional to 301,370 and 668,824

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Solution

The third proportional to 301,370 and 668,824 is: 1,484,306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,370 : 668,824 = 668,824 : x
  2. Step 2: Convert to fraction form
    301,370/668,824 = 668,824/x
  3. Step 3: Cross multiply
    301,370x = 668,824 × 668,824
  4. Step 4: Simplify right side
    301,370x = 447,325,542,976
  5. Step 5: Solve for x
    x = 447,325,542,976/301,370
  6. Step 6: Final answer
    x = 1,484,306.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.