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Finding the Third Proportional to 205.17 and 424.55

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Solution

The third proportional to 205.17 and 424.55 is: 878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.17 : 424.55 = 424.55 : x
  2. Step 2: Convert to fraction form
    205.17/424.55 = 424.55/x
  3. Step 3: Cross multiply
    205.17x = 424.55 × 424.55
  4. Step 4: Simplify right side
    205.17x = 180,240.05
  5. Step 5: Solve for x
    x = 180,240.05/205.17
  6. Step 6: Final answer
    x = 878.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.