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Finding the Third Proportional to 206.16 and 448.31

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Solution

The third proportional to 206.16 and 448.31 is: 974.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.16 : 448.31 = 448.31 : x
  2. Step 2: Convert to fraction form
    206.16/448.31 = 448.31/x
  3. Step 3: Cross multiply
    206.16x = 448.31 × 448.31
  4. Step 4: Simplify right side
    206.16x = 200,984.10
  5. Step 5: Solve for x
    x = 200,984.10/206.16
  6. Step 6: Final answer
    x = 974.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.