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Finding the Third Proportional to 79,838 and 111,007

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Solution

The third proportional to 79,838 and 111,007 is: 154,344.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,838 : 111,007 = 111,007 : x
  2. Step 2: Convert to fraction form
    79,838/111,007 = 111,007/x
  3. Step 3: Cross multiply
    79,838x = 111,007 × 111,007
  4. Step 4: Simplify right side
    79,838x = 12,322,554,049
  5. Step 5: Solve for x
    x = 12,322,554,049/79,838
  6. Step 6: Final answer
    x = 154,344.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.