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Finding the Third Proportional to 156.25 and 241.88

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Solution

The third proportional to 156.25 and 241.88 is: 374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.25 : 241.88 = 241.88 : x
  2. Step 2: Convert to fraction form
    156.25/241.88 = 241.88/x
  3. Step 3: Cross multiply
    156.25x = 241.88 × 241.88
  4. Step 4: Simplify right side
    156.25x = 58,503.52
  5. Step 5: Solve for x
    x = 58,503.52/156.25
  6. Step 6: Final answer
    x = 374.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.