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Finding the Third Proportional to 277,317.38 and 396,292.88

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Solution

The third proportional to 277,317.38 and 396,292.88 is: 566,311.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,317.38 : 396,292.88 = 396,292.88 : x
  2. Step 2: Convert to fraction form
    277,317.38/396,292.88 = 396,292.88/x
  3. Step 3: Cross multiply
    277,317.38x = 396,292.88 × 396,292.88
  4. Step 4: Simplify right side
    277,317.38x = 157,048,042,775.77
  5. Step 5: Solve for x
    x = 157,048,042,775.77/277,317.38
  6. Step 6: Final answer
    x = 566,311.59

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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.