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Finding the Third Proportional to 73.05 and 154.20

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Solution

The third proportional to 73.05 and 154.20 is: 325.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.05 : 154.20 = 154.20 : x
  2. Step 2: Convert to fraction form
    73.05/154.20 = 154.20/x
  3. Step 3: Cross multiply
    73.05x = 154.20 × 154.20
  4. Step 4: Simplify right side
    73.05x = 23,776.19
  5. Step 5: Solve for x
    x = 23,776.19/73.05
  6. Step 6: Final answer
    x = 325.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.