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Finding the Third Proportional to 242.41 and 342.73

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Solution

The third proportional to 242.41 and 342.73 is: 484.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.41 : 342.73 = 342.73 : x
  2. Step 2: Convert to fraction form
    242.41/342.73 = 342.73/x
  3. Step 3: Cross multiply
    242.41x = 342.73 × 342.73
  4. Step 4: Simplify right side
    242.41x = 117,462.00
  5. Step 5: Solve for x
    x = 117,462.00/242.41
  6. Step 6: Final answer
    x = 484.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.