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Finding the Third Proportional to 297.81 and 448.91

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Solution

The third proportional to 297.81 and 448.91 is: 676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.81 : 448.91 = 448.91 : x
  2. Step 2: Convert to fraction form
    297.81/448.91 = 448.91/x
  3. Step 3: Cross multiply
    297.81x = 448.91 × 448.91
  4. Step 4: Simplify right side
    297.81x = 201,520.33
  5. Step 5: Solve for x
    x = 201,520.33/297.81
  6. Step 6: Final answer
    x = 676.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.