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Finding the Third Proportional to 163.45 and 355.73

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Solution

The third proportional to 163.45 and 355.73 is: 774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.45 : 355.73 = 355.73 : x
  2. Step 2: Convert to fraction form
    163.45/355.73 = 355.73/x
  3. Step 3: Cross multiply
    163.45x = 355.73 × 355.73
  4. Step 4: Simplify right side
    163.45x = 126,547.08
  5. Step 5: Solve for x
    x = 126,547.08/163.45
  6. Step 6: Final answer
    x = 774.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.