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Finding the Third Proportional to 32.64 and 78.12

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Solution

The third proportional to 32.64 and 78.12 is: 186.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.64 : 78.12 = 78.12 : x
  2. Step 2: Convert to fraction form
    32.64/78.12 = 78.12/x
  3. Step 3: Cross multiply
    32.64x = 78.12 × 78.12
  4. Step 4: Simplify right side
    32.64x = 6,102.35
  5. Step 5: Solve for x
    x = 6,102.35/32.64
  6. Step 6: Final answer
    x = 186.97

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.