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Finding the Third Proportional to 277,141.50 and 427,923

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Solution

The third proportional to 277,141.50 and 427,923 is: 660,738.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,141.50 : 427,923 = 427,923 : x
  2. Step 2: Convert to fraction form
    277,141.50/427,923 = 427,923/x
  3. Step 3: Cross multiply
    277,141.50x = 427,923 × 427,923
  4. Step 4: Simplify right side
    277,141.50x = 183,118,093,929
  5. Step 5: Solve for x
    x = 183,118,093,929/277,141.50
  6. Step 6: Final answer
    x = 660,738.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.