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Finding the Third Proportional to 251.81 and 449.06

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Solution

The third proportional to 251.81 and 449.06 is: 800.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.81 : 449.06 = 449.06 : x
  2. Step 2: Convert to fraction form
    251.81/449.06 = 449.06/x
  3. Step 3: Cross multiply
    251.81x = 449.06 × 449.06
  4. Step 4: Simplify right side
    251.81x = 201,657.13
  5. Step 5: Solve for x
    x = 201,657.13/251.81
  6. Step 6: Final answer
    x = 800.82

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.