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Finding the Third Proportional to 277.17 and 381.59

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Solution

The third proportional to 277.17 and 381.59 is: 525.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.17 : 381.59 = 381.59 : x
  2. Step 2: Convert to fraction form
    277.17/381.59 = 381.59/x
  3. Step 3: Cross multiply
    277.17x = 381.59 × 381.59
  4. Step 4: Simplify right side
    277.17x = 145,607.83
  5. Step 5: Solve for x
    x = 145,607.83/277.17
  6. Step 6: Final answer
    x = 525.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.