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Finding the Third Proportional to 69,072 and 103,181

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Solution

The third proportional to 69,072 and 103,181 is: 154,133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,072 : 103,181 = 103,181 : x
  2. Step 2: Convert to fraction form
    69,072/103,181 = 103,181/x
  3. Step 3: Cross multiply
    69,072x = 103,181 × 103,181
  4. Step 4: Simplify right side
    69,072x = 10,646,318,761
  5. Step 5: Solve for x
    x = 10,646,318,761/69,072
  6. Step 6: Final answer
    x = 154,133.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.