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Finding the Third Proportional to 206.50 and 433.27

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Solution

The third proportional to 206.50 and 433.27 is: 909.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.50 : 433.27 = 433.27 : x
  2. Step 2: Convert to fraction form
    206.50/433.27 = 433.27/x
  3. Step 3: Cross multiply
    206.50x = 433.27 × 433.27
  4. Step 4: Simplify right side
    206.50x = 187,719.10
  5. Step 5: Solve for x
    x = 187,719.10/206.50
  6. Step 6: Final answer
    x = 909.05

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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.