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Finding the Third Proportional to 267.19 and 407.81

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Solution

The third proportional to 267.19 and 407.81 is: 622.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.19 : 407.81 = 407.81 : x
  2. Step 2: Convert to fraction form
    267.19/407.81 = 407.81/x
  3. Step 3: Cross multiply
    267.19x = 407.81 × 407.81
  4. Step 4: Simplify right side
    267.19x = 166,311.04
  5. Step 5: Solve for x
    x = 166,311.04/267.19
  6. Step 6: Final answer
    x = 622.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.