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Finding the Third Proportional to 277.17 and 586.62

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Solution

The third proportional to 277.17 and 586.62 is: 1,241.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.17 : 586.62 = 586.62 : x
  2. Step 2: Convert to fraction form
    277.17/586.62 = 586.62/x
  3. Step 3: Cross multiply
    277.17x = 586.62 × 586.62
  4. Step 4: Simplify right side
    277.17x = 344,119.72
  5. Step 5: Solve for x
    x = 344,119.72/277.17
  6. Step 6: Final answer
    x = 1,241.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.