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Finding the Third Proportional to 111.16 and 269.26

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Solution

The third proportional to 111.16 and 269.26 is: 652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.16 : 269.26 = 269.26 : x
  2. Step 2: Convert to fraction form
    111.16/269.26 = 269.26/x
  3. Step 3: Cross multiply
    111.16x = 269.26 × 269.26
  4. Step 4: Simplify right side
    111.16x = 72,501.87
  5. Step 5: Solve for x
    x = 72,501.87/111.16
  6. Step 6: Final answer
    x = 652.21

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.