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Finding the Third Proportional to 250,983 and 489,355.75

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Solution

The third proportional to 250,983 and 489,355.75 is: 954,124.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,983 : 489,355.75 = 489,355.75 : x
  2. Step 2: Convert to fraction form
    250,983/489,355.75 = 489,355.75/x
  3. Step 3: Cross multiply
    250,983x = 489,355.75 × 489,355.75
  4. Step 4: Simplify right side
    250,983x = 239,469,050,058.06
  5. Step 5: Solve for x
    x = 239,469,050,058.06/250,983
  6. Step 6: Final answer
    x = 954,124.58

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.