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Finding the Third Proportional to 7.67 and 19.02

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Solution

The third proportional to 7.67 and 19.02 is: 47.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.67 : 19.02 = 19.02 : x
  2. Step 2: Convert to fraction form
    7.67/19.02 = 19.02/x
  3. Step 3: Cross multiply
    7.67x = 19.02 × 19.02
  4. Step 4: Simplify right side
    7.67x = 361.91
  5. Step 5: Solve for x
    x = 361.91/7.67
  6. Step 6: Final answer
    x = 47.17

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.