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Finding the Third Proportional to 277.69 and 562.97

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Solution

The third proportional to 277.69 and 562.97 is: 1,141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.69 : 562.97 = 562.97 : x
  2. Step 2: Convert to fraction form
    277.69/562.97 = 562.97/x
  3. Step 3: Cross multiply
    277.69x = 562.97 × 562.97
  4. Step 4: Simplify right side
    277.69x = 316,933.81
  5. Step 5: Solve for x
    x = 316,933.81/277.69
  6. Step 6: Final answer
    x = 1,141.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.