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Finding the Third Proportional to 277,328.25 and 396,309.38

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Solution

The third proportional to 277,328.25 and 396,309.38 is: 566,336.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,328.25 : 396,309.38 = 396,309.38 : x
  2. Step 2: Convert to fraction form
    277,328.25/396,309.38 = 396,309.38/x
  3. Step 3: Cross multiply
    277,328.25x = 396,309.38 × 396,309.38
  4. Step 4: Simplify right side
    277,328.25x = 157,061,120,712.89
  5. Step 5: Solve for x
    x = 157,061,120,712.89/277,328.25
  6. Step 6: Final answer
    x = 566,336.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.