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Finding the Third Proportional to 109.63 and 162.32

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Solution

The third proportional to 109.63 and 162.32 is: 240.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.63 : 162.32 = 162.32 : x
  2. Step 2: Convert to fraction form
    109.63/162.32 = 162.32/x
  3. Step 3: Cross multiply
    109.63x = 162.32 × 162.32
  4. Step 4: Simplify right side
    109.63x = 26,346.62
  5. Step 5: Solve for x
    x = 26,346.62/109.63
  6. Step 6: Final answer
    x = 240.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.