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Finding the Third Proportional to 205.80 and 460.55

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Solution

The third proportional to 205.80 and 460.55 is: 1,030.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.80 : 460.55 = 460.55 : x
  2. Step 2: Convert to fraction form
    205.80/460.55 = 460.55/x
  3. Step 3: Cross multiply
    205.80x = 460.55 × 460.55
  4. Step 4: Simplify right side
    205.80x = 212,103.42
  5. Step 5: Solve for x
    x = 212,103.42/205.80
  6. Step 6: Final answer
    x = 1,030.61

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.