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Finding the Third Proportional to 73.05 and 157.56

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Solution

The third proportional to 73.05 and 157.56 is: 339.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.05 : 157.56 = 157.56 : x
  2. Step 2: Convert to fraction form
    73.05/157.56 = 157.56/x
  3. Step 3: Cross multiply
    73.05x = 157.56 × 157.56
  4. Step 4: Simplify right side
    73.05x = 24,823.73
  5. Step 5: Solve for x
    x = 24,823.73/73.05
  6. Step 6: Final answer
    x = 339.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.