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Finding the Third Proportional to 121,523 and 189,962

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Solution

The third proportional to 121,523 and 189,962 is: 296,944.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,523 : 189,962 = 189,962 : x
  2. Step 2: Convert to fraction form
    121,523/189,962 = 189,962/x
  3. Step 3: Cross multiply
    121,523x = 189,962 × 189,962
  4. Step 4: Simplify right side
    121,523x = 36,085,561,444
  5. Step 5: Solve for x
    x = 36,085,561,444/121,523
  6. Step 6: Final answer
    x = 296,944.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.