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Finding the Third Proportional to 127,536 and 280,824

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Solution

The third proportional to 127,536 and 280,824 is: 618,351.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,536 : 280,824 = 280,824 : x
  2. Step 2: Convert to fraction form
    127,536/280,824 = 280,824/x
  3. Step 3: Cross multiply
    127,536x = 280,824 × 280,824
  4. Step 4: Simplify right side
    127,536x = 78,862,118,976
  5. Step 5: Solve for x
    x = 78,862,118,976/127,536
  6. Step 6: Final answer
    x = 618,351.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.