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Finding the Third Proportional to 213.05 and 448.45

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Solution

The third proportional to 213.05 and 448.45 is: 943.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.05 : 448.45 = 448.45 : x
  2. Step 2: Convert to fraction form
    213.05/448.45 = 448.45/x
  3. Step 3: Cross multiply
    213.05x = 448.45 × 448.45
  4. Step 4: Simplify right side
    213.05x = 201,110.21
  5. Step 5: Solve for x
    x = 201,110.21/213.05
  6. Step 6: Final answer
    x = 943.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.