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Finding the Third Proportional to 293.91 and 450.28

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Solution

The third proportional to 293.91 and 450.28 is: 689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.91 : 450.28 = 450.28 : x
  2. Step 2: Convert to fraction form
    293.91/450.28 = 450.28/x
  3. Step 3: Cross multiply
    293.91x = 450.28 × 450.28
  4. Step 4: Simplify right side
    293.91x = 202,753.20
  5. Step 5: Solve for x
    x = 202,753.20/293.91
  6. Step 6: Final answer
    x = 689.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.