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Finding the Third Proportional to 309.25 and 450.88

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Solution

The third proportional to 309.25 and 450.88 is: 657.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.25 : 450.88 = 450.88 : x
  2. Step 2: Convert to fraction form
    309.25/450.88 = 450.88/x
  3. Step 3: Cross multiply
    309.25x = 450.88 × 450.88
  4. Step 4: Simplify right side
    309.25x = 203,288.27
  5. Step 5: Solve for x
    x = 203,288.27/309.25
  6. Step 6: Final answer
    x = 657.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.