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Finding the Third Proportional to 128,242 and 275,420

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Solution

The third proportional to 128,242 and 275,420 is: 591,508.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,242 : 275,420 = 275,420 : x
  2. Step 2: Convert to fraction form
    128,242/275,420 = 275,420/x
  3. Step 3: Cross multiply
    128,242x = 275,420 × 275,420
  4. Step 4: Simplify right side
    128,242x = 75,856,176,400
  5. Step 5: Solve for x
    x = 75,856,176,400/128,242
  6. Step 6: Final answer
    x = 591,508.06

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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.