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Finding the Third Proportional to 277,317.50 and 396,293

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Solution

The third proportional to 277,317.50 and 396,293 is: 566,311.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,317.50 : 396,293 = 396,293 : x
  2. Step 2: Convert to fraction form
    277,317.50/396,293 = 396,293/x
  3. Step 3: Cross multiply
    277,317.50x = 396,293 × 396,293
  4. Step 4: Simplify right side
    277,317.50x = 157,048,141,849
  5. Step 5: Solve for x
    x = 157,048,141,849/277,317.50
  6. Step 6: Final answer
    x = 566,311.69

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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.