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Finding the Third Proportional to 205.13 and 455.72

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Solution

The third proportional to 205.13 and 455.72 is: 1,012.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.13 : 455.72 = 455.72 : x
  2. Step 2: Convert to fraction form
    205.13/455.72 = 455.72/x
  3. Step 3: Cross multiply
    205.13x = 455.72 × 455.72
  4. Step 4: Simplify right side
    205.13x = 207,679.58
  5. Step 5: Solve for x
    x = 207,679.58/205.13
  6. Step 6: Final answer
    x = 1,012.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.