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Finding the Third Proportional to 621,039 and 1,330,611

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Solution

The third proportional to 621,039 and 1,330,611 is: 2,850,908.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,039 : 1,330,611 = 1,330,611 : x
  2. Step 2: Convert to fraction form
    621,039/1,330,611 = 1,330,611/x
  3. Step 3: Cross multiply
    621,039x = 1,330,611 × 1,330,611
  4. Step 4: Simplify right side
    621,039x = 1,770,525,633,321
  5. Step 5: Solve for x
    x = 1,770,525,633,321/621,039
  6. Step 6: Final answer
    x = 2,850,908.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.