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Finding the Third Proportional to 279,520 and 620,960

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Solution

The third proportional to 279,520 and 620,960 is: 1,379,476.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,520 : 620,960 = 620,960 : x
  2. Step 2: Convert to fraction form
    279,520/620,960 = 620,960/x
  3. Step 3: Cross multiply
    279,520x = 620,960 × 620,960
  4. Step 4: Simplify right side
    279,520x = 385,591,321,600
  5. Step 5: Solve for x
    x = 385,591,321,600/279,520
  6. Step 6: Final answer
    x = 1,379,476.68

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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.