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Finding the Third Proportional to 167.28 and 266.42

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Solution

The third proportional to 167.28 and 266.42 is: 424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.28 : 266.42 = 266.42 : x
  2. Step 2: Convert to fraction form
    167.28/266.42 = 266.42/x
  3. Step 3: Cross multiply
    167.28x = 266.42 × 266.42
  4. Step 4: Simplify right side
    167.28x = 70,980.62
  5. Step 5: Solve for x
    x = 70,980.62/167.28
  6. Step 6: Final answer
    x = 424.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.