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Finding the Third Proportional to 412,868.25 and 837,407.25

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Solution

The third proportional to 412,868.25 and 837,407.25 is: 1,698,485.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,868.25 : 837,407.25 = 837,407.25 : x
  2. Step 2: Convert to fraction form
    412,868.25/837,407.25 = 837,407.25/x
  3. Step 3: Cross multiply
    412,868.25x = 837,407.25 × 837,407.25
  4. Step 4: Simplify right side
    412,868.25x = 701,250,902,352.56
  5. Step 5: Solve for x
    x = 701,250,902,352.56/412,868.25
  6. Step 6: Final answer
    x = 1,698,485.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.