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Finding the Third Proportional to 209.53 and 460.55

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Solution

The third proportional to 209.53 and 460.55 is: 1,012.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.53 : 460.55 = 460.55 : x
  2. Step 2: Convert to fraction form
    209.53/460.55 = 460.55/x
  3. Step 3: Cross multiply
    209.53x = 460.55 × 460.55
  4. Step 4: Simplify right side
    209.53x = 212,103.42
  5. Step 5: Solve for x
    x = 212,103.42/209.53
  6. Step 6: Final answer
    x = 1,012.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.