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Finding the Third Proportional to 277,291 and 428,164

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Solution

The third proportional to 277,291 and 428,164 is: 661,126.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,291 : 428,164 = 428,164 : x
  2. Step 2: Convert to fraction form
    277,291/428,164 = 428,164/x
  3. Step 3: Cross multiply
    277,291x = 428,164 × 428,164
  4. Step 4: Simplify right side
    277,291x = 183,324,410,896
  5. Step 5: Solve for x
    x = 183,324,410,896/277,291
  6. Step 6: Final answer
    x = 661,126.44

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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.