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Finding the Third Proportional to 455.91 and 891.56

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Solution

The third proportional to 455.91 and 891.56 is: 1,743.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.91 : 891.56 = 891.56 : x
  2. Step 2: Convert to fraction form
    455.91/891.56 = 891.56/x
  3. Step 3: Cross multiply
    455.91x = 891.56 × 891.56
  4. Step 4: Simplify right side
    455.91x = 794,883.69
  5. Step 5: Solve for x
    x = 794,883.69/455.91
  6. Step 6: Final answer
    x = 1,743.52

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.