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Finding the Third Proportional to 143.44 and 309.94

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Solution

The third proportional to 143.44 and 309.94 is: 669.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.44 : 309.94 = 309.94 : x
  2. Step 2: Convert to fraction form
    143.44/309.94 = 309.94/x
  3. Step 3: Cross multiply
    143.44x = 309.94 × 309.94
  4. Step 4: Simplify right side
    143.44x = 96,061.25
  5. Step 5: Solve for x
    x = 96,061.25/143.44
  6. Step 6: Final answer
    x = 669.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.