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Finding the Third Proportional to 309,168 and 658,836

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Solution

The third proportional to 309,168 and 658,836 is: 1,403,977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,168 : 658,836 = 658,836 : x
  2. Step 2: Convert to fraction form
    309,168/658,836 = 658,836/x
  3. Step 3: Cross multiply
    309,168x = 658,836 × 658,836
  4. Step 4: Simplify right side
    309,168x = 434,064,874,896
  5. Step 5: Solve for x
    x = 434,064,874,896/309,168
  6. Step 6: Final answer
    x = 1,403,977.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.