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Finding the Third Proportional to 35.24 and 73.68

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Solution

The third proportional to 35.24 and 73.68 is: 154.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.24 : 73.68 = 73.68 : x
  2. Step 2: Convert to fraction form
    35.24/73.68 = 73.68/x
  3. Step 3: Cross multiply
    35.24x = 73.68 × 73.68
  4. Step 4: Simplify right side
    35.24x = 5,429.20
  5. Step 5: Solve for x
    x = 5,429.20/35.24
  6. Step 6: Final answer
    x = 154.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.