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Finding the Third Proportional to 128,004 and 275,628

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Solution

The third proportional to 128,004 and 275,628 is: 593,503.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,004 : 275,628 = 275,628 : x
  2. Step 2: Convert to fraction form
    128,004/275,628 = 275,628/x
  3. Step 3: Cross multiply
    128,004x = 275,628 × 275,628
  4. Step 4: Simplify right side
    128,004x = 75,970,794,384
  5. Step 5: Solve for x
    x = 75,970,794,384/128,004
  6. Step 6: Final answer
    x = 593,503.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.