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Finding the Third Proportional to 76.63 and 156.88

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Solution

The third proportional to 76.63 and 156.88 is: 321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.63 : 156.88 = 156.88 : x
  2. Step 2: Convert to fraction form
    76.63/156.88 = 156.88/x
  3. Step 3: Cross multiply
    76.63x = 156.88 × 156.88
  4. Step 4: Simplify right side
    76.63x = 24,609.77
  5. Step 5: Solve for x
    x = 24,609.77/76.63
  6. Step 6: Final answer
    x = 321.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.