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Finding the Third Proportional to 455.06 and 672.96

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Solution

The third proportional to 455.06 and 672.96 is: 995.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.06 : 672.96 = 672.96 : x
  2. Step 2: Convert to fraction form
    455.06/672.96 = 672.96/x
  3. Step 3: Cross multiply
    455.06x = 672.96 × 672.96
  4. Step 4: Simplify right side
    455.06x = 452,876.42
  5. Step 5: Solve for x
    x = 452,876.42/455.06
  6. Step 6: Final answer
    x = 995.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.