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Finding the Third Proportional to 277,551 and 576,918

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Solution

The third proportional to 277,551 and 576,918 is: 1,199,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,551 : 576,918 = 576,918 : x
  2. Step 2: Convert to fraction form
    277,551/576,918 = 576,918/x
  3. Step 3: Cross multiply
    277,551x = 576,918 × 576,918
  4. Step 4: Simplify right side
    277,551x = 332,834,378,724
  5. Step 5: Solve for x
    x = 332,834,378,724/277,551
  6. Step 6: Final answer
    x = 1,199,182.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.