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Finding the Third Proportional to 277,976 and 542,128

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Solution

The third proportional to 277,976 and 542,128 is: 1,057,295.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,976 : 542,128 = 542,128 : x
  2. Step 2: Convert to fraction form
    277,976/542,128 = 542,128/x
  3. Step 3: Cross multiply
    277,976x = 542,128 × 542,128
  4. Step 4: Simplify right side
    277,976x = 293,902,768,384
  5. Step 5: Solve for x
    x = 293,902,768,384/277,976
  6. Step 6: Final answer
    x = 1,057,295.48

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.