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Finding the Third Proportional to 299,270 and 656,694

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Solution

The third proportional to 299,270 and 656,694 is: 1,440,996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,270 : 656,694 = 656,694 : x
  2. Step 2: Convert to fraction form
    299,270/656,694 = 656,694/x
  3. Step 3: Cross multiply
    299,270x = 656,694 × 656,694
  4. Step 4: Simplify right side
    299,270x = 431,247,009,636
  5. Step 5: Solve for x
    x = 431,247,009,636/299,270
  6. Step 6: Final answer
    x = 1,440,996.46

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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.