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Finding the Third Proportional to 114.72 and 248.11

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Solution

The third proportional to 114.72 and 248.11 is: 536.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.72 : 248.11 = 248.11 : x
  2. Step 2: Convert to fraction form
    114.72/248.11 = 248.11/x
  3. Step 3: Cross multiply
    114.72x = 248.11 × 248.11
  4. Step 4: Simplify right side
    114.72x = 61,558.26
  5. Step 5: Solve for x
    x = 61,558.26/114.72
  6. Step 6: Final answer
    x = 536.60

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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.