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Finding the Third Proportional to 101.72 and 207.05

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Solution

The third proportional to 101.72 and 207.05 is: 421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.72 : 207.05 = 207.05 : x
  2. Step 2: Convert to fraction form
    101.72/207.05 = 207.05/x
  3. Step 3: Cross multiply
    101.72x = 207.05 × 207.05
  4. Step 4: Simplify right side
    101.72x = 42,868.41
  5. Step 5: Solve for x
    x = 42,868.41/101.72
  6. Step 6: Final answer
    x = 421.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.