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Finding the Third Proportional to 127.59 and 276.80

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Solution

The third proportional to 127.59 and 276.80 is: 600.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.59 : 276.80 = 276.80 : x
  2. Step 2: Convert to fraction form
    127.59/276.80 = 276.80/x
  3. Step 3: Cross multiply
    127.59x = 276.80 × 276.80
  4. Step 4: Simplify right side
    127.59x = 76,616.51
  5. Step 5: Solve for x
    x = 76,616.51/127.59
  6. Step 6: Final answer
    x = 600.47

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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.