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Finding the Third Proportional to 277.41 and 328.03

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Solution

The third proportional to 277.41 and 328.03 is: 387.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.41 : 328.03 = 328.03 : x
  2. Step 2: Convert to fraction form
    277.41/328.03 = 328.03/x
  3. Step 3: Cross multiply
    277.41x = 328.03 × 328.03
  4. Step 4: Simplify right side
    277.41x = 107,606.42
  5. Step 5: Solve for x
    x = 107,606.42/277.41
  6. Step 6: Final answer
    x = 387.90

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.