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Finding the Third Proportional to 111,186 and 163,839

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Solution

The third proportional to 111,186 and 163,839 is: 241,426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,186 : 163,839 = 163,839 : x
  2. Step 2: Convert to fraction form
    111,186/163,839 = 163,839/x
  3. Step 3: Cross multiply
    111,186x = 163,839 × 163,839
  4. Step 4: Simplify right side
    111,186x = 26,843,217,921
  5. Step 5: Solve for x
    x = 26,843,217,921/111,186
  6. Step 6: Final answer
    x = 241,426.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.