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Finding the Third Proportional to 397,287 and 865,512

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Solution

The third proportional to 397,287 and 865,512 is: 1,885,566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,287 : 865,512 = 865,512 : x
  2. Step 2: Convert to fraction form
    397,287/865,512 = 865,512/x
  3. Step 3: Cross multiply
    397,287x = 865,512 × 865,512
  4. Step 4: Simplify right side
    397,287x = 749,111,022,144
  5. Step 5: Solve for x
    x = 749,111,022,144/397,287
  6. Step 6: Final answer
    x = 1,885,566.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.