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Finding the Third Proportional to 163.90 and 235.72

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Solution

The third proportional to 163.90 and 235.72 is: 339.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.90 : 235.72 = 235.72 : x
  2. Step 2: Convert to fraction form
    163.90/235.72 = 235.72/x
  3. Step 3: Cross multiply
    163.90x = 235.72 × 235.72
  4. Step 4: Simplify right side
    163.90x = 55,565.17
  5. Step 5: Solve for x
    x = 55,565.17/163.90
  6. Step 6: Final answer
    x = 339.02

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.