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Finding the Third Proportional to 397,326 and 869,732

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Solution

The third proportional to 397,326 and 869,732 is: 1,903,811.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,326 : 869,732 = 869,732 : x
  2. Step 2: Convert to fraction form
    397,326/869,732 = 869,732/x
  3. Step 3: Cross multiply
    397,326x = 869,732 × 869,732
  4. Step 4: Simplify right side
    397,326x = 756,433,751,824
  5. Step 5: Solve for x
    x = 756,433,751,824/397,326
  6. Step 6: Final answer
    x = 1,903,811.36

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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.