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Finding the Third Proportional to 69,676 and 106,144

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Solution

The third proportional to 69,676 and 106,144 is: 161,699.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,676 : 106,144 = 106,144 : x
  2. Step 2: Convert to fraction form
    69,676/106,144 = 106,144/x
  3. Step 3: Cross multiply
    69,676x = 106,144 × 106,144
  4. Step 4: Simplify right side
    69,676x = 11,266,548,736
  5. Step 5: Solve for x
    x = 11,266,548,736/69,676
  6. Step 6: Final answer
    x = 161,699.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.