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Finding the Third Proportional to 489,279 and 689,016

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Solution

The third proportional to 489,279 and 689,016 is: 970,291.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,279 : 689,016 = 689,016 : x
  2. Step 2: Convert to fraction form
    489,279/689,016 = 689,016/x
  3. Step 3: Cross multiply
    489,279x = 689,016 × 689,016
  4. Step 4: Simplify right side
    489,279x = 474,743,048,256
  5. Step 5: Solve for x
    x = 474,743,048,256/489,279
  6. Step 6: Final answer
    x = 970,291.08

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.