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Finding the Third Proportional to 299,694 and 637,530

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Solution

The third proportional to 299,694 and 637,530 is: 1,356,198.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,694 : 637,530 = 637,530 : x
  2. Step 2: Convert to fraction form
    299,694/637,530 = 637,530/x
  3. Step 3: Cross multiply
    299,694x = 637,530 × 637,530
  4. Step 4: Simplify right side
    299,694x = 406,444,500,900
  5. Step 5: Solve for x
    x = 406,444,500,900/299,694
  6. Step 6: Final answer
    x = 1,356,198.33

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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.