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Finding the Third Proportional to 489,350 and 689,104

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Solution

The third proportional to 489,350 and 689,104 is: 970,398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,350 : 689,104 = 689,104 : x
  2. Step 2: Convert to fraction form
    489,350/689,104 = 689,104/x
  3. Step 3: Cross multiply
    489,350x = 689,104 × 689,104
  4. Step 4: Simplify right side
    489,350x = 474,864,322,816
  5. Step 5: Solve for x
    x = 474,864,322,816/489,350
  6. Step 6: Final answer
    x = 970,398.13

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Why These Related Problems?

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