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Finding the Third Proportional to 285.26 and 619.38

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Solution

The third proportional to 285.26 and 619.38 is: 1,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.26 : 619.38 = 619.38 : x
  2. Step 2: Convert to fraction form
    285.26/619.38 = 619.38/x
  3. Step 3: Cross multiply
    285.26x = 619.38 × 619.38
  4. Step 4: Simplify right side
    285.26x = 383,635.07
  5. Step 5: Solve for x
    x = 383,635.07/285.26
  6. Step 6: Final answer
    x = 1,344.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.