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Finding the Third Proportional to 298,804 and 637,544

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Solution

The third proportional to 298,804 and 637,544 is: 1,360,297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,804 : 637,544 = 637,544 : x
  2. Step 2: Convert to fraction form
    298,804/637,544 = 637,544/x
  3. Step 3: Cross multiply
    298,804x = 637,544 × 637,544
  4. Step 4: Simplify right side
    298,804x = 406,462,351,936
  5. Step 5: Solve for x
    x = 406,462,351,936/298,804
  6. Step 6: Final answer
    x = 1,360,297.56

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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.