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Finding the Third Proportional to 127,200 and 276,270

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Solution

The third proportional to 127,200 and 276,270 is: 600,040.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,200 : 276,270 = 276,270 : x
  2. Step 2: Convert to fraction form
    127,200/276,270 = 276,270/x
  3. Step 3: Cross multiply
    127,200x = 276,270 × 276,270
  4. Step 4: Simplify right side
    127,200x = 76,325,112,900
  5. Step 5: Solve for x
    x = 76,325,112,900/127,200
  6. Step 6: Final answer
    x = 600,040.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.