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Finding the Third Proportional to 72.32 and 108.35

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Solution

The third proportional to 72.32 and 108.35 is: 162.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.32 : 108.35 = 108.35 : x
  2. Step 2: Convert to fraction form
    72.32/108.35 = 108.35/x
  3. Step 3: Cross multiply
    72.32x = 108.35 × 108.35
  4. Step 4: Simplify right side
    72.32x = 11,740.06
  5. Step 5: Solve for x
    x = 11,740.06/72.32
  6. Step 6: Final answer
    x = 162.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.