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Finding the Third Proportional to 67.50 and 156.19

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Solution

The third proportional to 67.50 and 156.19 is: 361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.50 : 156.19 = 156.19 : x
  2. Step 2: Convert to fraction form
    67.50/156.19 = 156.19/x
  3. Step 3: Cross multiply
    67.50x = 156.19 × 156.19
  4. Step 4: Simplify right side
    67.50x = 24,394.54
  5. Step 5: Solve for x
    x = 24,394.54/67.50
  6. Step 6: Final answer
    x = 361.40

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.