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Finding the Third Proportional to 163.78 and 342.56

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Solution

The third proportional to 163.78 and 342.56 is: 716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.78 : 342.56 = 342.56 : x
  2. Step 2: Convert to fraction form
    163.78/342.56 = 342.56/x
  3. Step 3: Cross multiply
    163.78x = 342.56 × 342.56
  4. Step 4: Simplify right side
    163.78x = 117,349.07
  5. Step 5: Solve for x
    x = 117,349.07/163.78
  6. Step 6: Final answer
    x = 716.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.