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Finding the Third Proportional to 115.59 and 248.34

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Solution

The third proportional to 115.59 and 248.34 is: 533.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.59 : 248.34 = 248.34 : x
  2. Step 2: Convert to fraction form
    115.59/248.34 = 248.34/x
  3. Step 3: Cross multiply
    115.59x = 248.34 × 248.34
  4. Step 4: Simplify right side
    115.59x = 61,674.62
  5. Step 5: Solve for x
    x = 61,674.62/115.59
  6. Step 6: Final answer
    x = 533.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.