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Finding the Third Proportional to 163.90 and 219.27

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Solution

The third proportional to 163.90 and 219.27 is: 293.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.90 : 219.27 = 219.27 : x
  2. Step 2: Convert to fraction form
    163.90/219.27 = 219.27/x
  3. Step 3: Cross multiply
    163.90x = 219.27 × 219.27
  4. Step 4: Simplify right side
    163.90x = 48,079.13
  5. Step 5: Solve for x
    x = 48,079.13/163.90
  6. Step 6: Final answer
    x = 293.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.