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Finding the Third Proportional to 156.30 and 179.09

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Solution

The third proportional to 156.30 and 179.09 is: 205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.30 : 179.09 = 179.09 : x
  2. Step 2: Convert to fraction form
    156.30/179.09 = 179.09/x
  3. Step 3: Cross multiply
    156.30x = 179.09 × 179.09
  4. Step 4: Simplify right side
    156.30x = 32,071.77
  5. Step 5: Solve for x
    x = 32,071.77/156.30
  6. Step 6: Final answer
    x = 205.19

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.