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Finding the Third Proportional to 127.51 and 276.22

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Solution

The third proportional to 127.51 and 276.22 is: 598.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.51 : 276.22 = 276.22 : x
  2. Step 2: Convert to fraction form
    127.51/276.22 = 276.22/x
  3. Step 3: Cross multiply
    127.51x = 276.22 × 276.22
  4. Step 4: Simplify right side
    127.51x = 76,298.96
  5. Step 5: Solve for x
    x = 76,298.96/127.51
  6. Step 6: Final answer
    x = 598.37

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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.