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Finding the Third Proportional to 77.20 and 112.64

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Solution

The third proportional to 77.20 and 112.64 is: 164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.20 : 112.64 = 112.64 : x
  2. Step 2: Convert to fraction form
    77.20/112.64 = 112.64/x
  3. Step 3: Cross multiply
    77.20x = 112.64 × 112.64
  4. Step 4: Simplify right side
    77.20x = 12,687.91
  5. Step 5: Solve for x
    x = 12,687.91/77.20
  6. Step 6: Final answer
    x = 164.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.