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Finding the Third Proportional to 121,356 and 189,954

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Solution

The third proportional to 121,356 and 189,954 is: 297,327.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,356 : 189,954 = 189,954 : x
  2. Step 2: Convert to fraction form
    121,356/189,954 = 189,954/x
  3. Step 3: Cross multiply
    121,356x = 189,954 × 189,954
  4. Step 4: Simplify right side
    121,356x = 36,082,522,116
  5. Step 5: Solve for x
    x = 36,082,522,116/121,356
  6. Step 6: Final answer
    x = 297,327.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.