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Finding the Third Proportional to 489,189 and 675,949

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Solution

The third proportional to 489,189 and 675,949 is: 934,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,189 : 675,949 = 675,949 : x
  2. Step 2: Convert to fraction form
    489,189/675,949 = 675,949/x
  3. Step 3: Cross multiply
    489,189x = 675,949 × 675,949
  4. Step 4: Simplify right side
    489,189x = 456,907,050,601
  5. Step 5: Solve for x
    x = 456,907,050,601/489,189
  6. Step 6: Final answer
    x = 934,009.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.