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Finding the Third Proportional to 128,138 and 275,220

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Solution

The third proportional to 128,138 and 275,220 is: 591,128.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,138 : 275,220 = 275,220 : x
  2. Step 2: Convert to fraction form
    128,138/275,220 = 275,220/x
  3. Step 3: Cross multiply
    128,138x = 275,220 × 275,220
  4. Step 4: Simplify right side
    128,138x = 75,746,048,400
  5. Step 5: Solve for x
    x = 75,746,048,400/128,138
  6. Step 6: Final answer
    x = 591,128.69

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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.