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Finding the Third Proportional to 127.63 and 272.63

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Solution

The third proportional to 127.63 and 272.63 is: 582.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.63 : 272.63 = 272.63 : x
  2. Step 2: Convert to fraction form
    127.63/272.63 = 272.63/x
  3. Step 3: Cross multiply
    127.63x = 272.63 × 272.63
  4. Step 4: Simplify right side
    127.63x = 74,324.39
  5. Step 5: Solve for x
    x = 74,324.39/127.63
  6. Step 6: Final answer
    x = 582.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.