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Finding the Third Proportional to 117.28 and 248.27

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Solution

The third proportional to 117.28 and 248.27 is: 525.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.28 : 248.27 = 248.27 : x
  2. Step 2: Convert to fraction form
    117.28/248.27 = 248.27/x
  3. Step 3: Cross multiply
    117.28x = 248.27 × 248.27
  4. Step 4: Simplify right side
    117.28x = 61,639.70
  5. Step 5: Solve for x
    x = 61,639.70/117.28
  6. Step 6: Final answer
    x = 525.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.