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Finding the Third Proportional to 277.65 and 377.31

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Solution

The third proportional to 277.65 and 377.31 is: 512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.65 : 377.31 = 377.31 : x
  2. Step 2: Convert to fraction form
    277.65/377.31 = 377.31/x
  3. Step 3: Cross multiply
    277.65x = 377.31 × 377.31
  4. Step 4: Simplify right side
    277.65x = 142,366.20
  5. Step 5: Solve for x
    x = 142,366.20/277.65
  6. Step 6: Final answer
    x = 512.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.