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Finding the Third Proportional to 35.66 and 73.20

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Solution

The third proportional to 35.66 and 73.20 is: 150.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.66 : 73.20 = 73.20 : x
  2. Step 2: Convert to fraction form
    35.66/73.20 = 73.20/x
  3. Step 3: Cross multiply
    35.66x = 73.20 × 73.20
  4. Step 4: Simplify right side
    35.66x = 5,357.54
  5. Step 5: Solve for x
    x = 5,357.54/35.66
  6. Step 6: Final answer
    x = 150.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.