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Finding the Third Proportional to 35.19 and 76.38

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Solution

The third proportional to 35.19 and 76.38 is: 165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.19 : 76.38 = 76.38 : x
  2. Step 2: Convert to fraction form
    35.19/76.38 = 76.38/x
  3. Step 3: Cross multiply
    35.19x = 76.38 × 76.38
  4. Step 4: Simplify right side
    35.19x = 5,833.14
  5. Step 5: Solve for x
    x = 5,833.14/35.19
  6. Step 6: Final answer
    x = 165.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.