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Finding the Third Proportional to 281.06 and 455.53

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Solution

The third proportional to 281.06 and 455.53 is: 738.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.06 : 455.53 = 455.53 : x
  2. Step 2: Convert to fraction form
    281.06/455.53 = 455.53/x
  3. Step 3: Cross multiply
    281.06x = 455.53 × 455.53
  4. Step 4: Simplify right side
    281.06x = 207,508.72
  5. Step 5: Solve for x
    x = 207,508.72/281.06
  6. Step 6: Final answer
    x = 738.30

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.