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Finding the Third Proportional to 156.52 and 329.20

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Solution

The third proportional to 156.52 and 329.20 is: 692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.52 : 329.20 = 329.20 : x
  2. Step 2: Convert to fraction form
    156.52/329.20 = 329.20/x
  3. Step 3: Cross multiply
    156.52x = 329.20 × 329.20
  4. Step 4: Simplify right side
    156.52x = 108,374.70
  5. Step 5: Solve for x
    x = 108,374.70/156.52
  6. Step 6: Final answer
    x = 692.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.