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Finding the Third Proportional to 69,861 and 142,962

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Solution

The third proportional to 69,861 and 142,962 is: 292,554.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,861 : 142,962 = 142,962 : x
  2. Step 2: Convert to fraction form
    69,861/142,962 = 142,962/x
  3. Step 3: Cross multiply
    69,861x = 142,962 × 142,962
  4. Step 4: Simplify right side
    69,861x = 20,438,133,444
  5. Step 5: Solve for x
    x = 20,438,133,444/69,861
  6. Step 6: Final answer
    x = 292,554.26

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.