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Finding the Third Proportional to 144.75 and 342.19

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Solution

The third proportional to 144.75 and 342.19 is: 808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.75 : 342.19 = 342.19 : x
  2. Step 2: Convert to fraction form
    144.75/342.19 = 342.19/x
  3. Step 3: Cross multiply
    144.75x = 342.19 × 342.19
  4. Step 4: Simplify right side
    144.75x = 117,092.29
  5. Step 5: Solve for x
    x = 117,092.29/144.75
  6. Step 6: Final answer
    x = 808.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.