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Finding the Third Proportional to 228,034.50 and 489,278.25

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Solution

The third proportional to 228,034.50 and 489,278.25 is: 1,049,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,034.50 : 489,278.25 = 489,278.25 : x
  2. Step 2: Convert to fraction form
    228,034.50/489,278.25 = 489,278.25/x
  3. Step 3: Cross multiply
    228,034.50x = 489,278.25 × 489,278.25
  4. Step 4: Simplify right side
    228,034.50x = 239,393,205,923.06
  5. Step 5: Solve for x
    x = 239,393,205,923.06/228,034.50
  6. Step 6: Final answer
    x = 1,049,811.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.