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Finding the Third Proportional to 143.44 and 266.44

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Solution

The third proportional to 143.44 and 266.44 is: 494.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.44 : 266.44 = 266.44 : x
  2. Step 2: Convert to fraction form
    143.44/266.44 = 266.44/x
  3. Step 3: Cross multiply
    143.44x = 266.44 × 266.44
  4. Step 4: Simplify right side
    143.44x = 70,988.94
  5. Step 5: Solve for x
    x = 70,988.94/143.44
  6. Step 6: Final answer
    x = 494.91

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.