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Finding the Third Proportional to 126.36 and 277.52

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Solution

The third proportional to 126.36 and 277.52 is: 609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.36 : 277.52 = 277.52 : x
  2. Step 2: Convert to fraction form
    126.36/277.52 = 277.52/x
  3. Step 3: Cross multiply
    126.36x = 277.52 × 277.52
  4. Step 4: Simplify right side
    126.36x = 77,014.92
  5. Step 5: Solve for x
    x = 77,014.92/126.36
  6. Step 6: Final answer
    x = 609.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.