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Finding the Third Proportional to 115.41 and 245.34

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Solution

The third proportional to 115.41 and 245.34 is: 521.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.41 : 245.34 = 245.34 : x
  2. Step 2: Convert to fraction form
    115.41/245.34 = 245.34/x
  3. Step 3: Cross multiply
    115.41x = 245.34 × 245.34
  4. Step 4: Simplify right side
    115.41x = 60,193.56
  5. Step 5: Solve for x
    x = 60,193.56/115.41
  6. Step 6: Final answer
    x = 521.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.