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Finding the Third Proportional to 156.50 and 367.75

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Solution

The third proportional to 156.50 and 367.75 is: 864.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.50 : 367.75 = 367.75 : x
  2. Step 2: Convert to fraction form
    156.50/367.75 = 367.75/x
  3. Step 3: Cross multiply
    156.50x = 367.75 × 367.75
  4. Step 4: Simplify right side
    156.50x = 135,240.06
  5. Step 5: Solve for x
    x = 135,240.06/156.50
  6. Step 6: Final answer
    x = 864.15

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.