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Finding the Third Proportional to 489,348 and 689,100.75

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Solution

The third proportional to 489,348 and 689,100.75 is: 970,392.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,348 : 689,100.75 = 689,100.75 : x
  2. Step 2: Convert to fraction form
    489,348/689,100.75 = 689,100.75/x
  3. Step 3: Cross multiply
    489,348x = 689,100.75 × 689,100.75
  4. Step 4: Simplify right side
    489,348x = 474,859,843,650.56
  5. Step 5: Solve for x
    x = 474,859,843,650.56/489,348
  6. Step 6: Final answer
    x = 970,392.94

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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.