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Finding the Third Proportional to 269.91 and 582.38

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Solution

The third proportional to 269.91 and 582.38 is: 1,256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.91 : 582.38 = 582.38 : x
  2. Step 2: Convert to fraction form
    269.91/582.38 = 582.38/x
  3. Step 3: Cross multiply
    269.91x = 582.38 × 582.38
  4. Step 4: Simplify right side
    269.91x = 339,160.64
  5. Step 5: Solve for x
    x = 339,160.64/269.91
  6. Step 6: Final answer
    x = 1,256.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.