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Finding the Third Proportional to 397,321 and 869,722

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Solution

The third proportional to 397,321 and 869,722 is: 1,903,791.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,321 : 869,722 = 869,722 : x
  2. Step 2: Convert to fraction form
    397,321/869,722 = 869,722/x
  3. Step 3: Cross multiply
    397,321x = 869,722 × 869,722
  4. Step 4: Simplify right side
    397,321x = 756,416,357,284
  5. Step 5: Solve for x
    x = 756,416,357,284/397,321
  6. Step 6: Final answer
    x = 1,903,791.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.