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Finding the Third Proportional to 277,295 and 428,171

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Solution

The third proportional to 277,295 and 428,171 is: 661,138.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,295 : 428,171 = 428,171 : x
  2. Step 2: Convert to fraction form
    277,295/428,171 = 428,171/x
  3. Step 3: Cross multiply
    277,295x = 428,171 × 428,171
  4. Step 4: Simplify right side
    277,295x = 183,330,405,241
  5. Step 5: Solve for x
    x = 183,330,405,241/277,295
  6. Step 6: Final answer
    x = 661,138.52

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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.