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Finding the Third Proportional to 489,393 and 689,179.50

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Solution

The third proportional to 489,393 and 689,179.50 is: 970,525.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,393 : 689,179.50 = 689,179.50 : x
  2. Step 2: Convert to fraction form
    489,393/689,179.50 = 689,179.50/x
  3. Step 3: Cross multiply
    489,393x = 689,179.50 × 689,179.50
  4. Step 4: Simplify right side
    489,393x = 474,968,383,220.25
  5. Step 5: Solve for x
    x = 474,968,383,220.25/489,393
  6. Step 6: Final answer
    x = 970,525.49

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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.