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Finding the Third Proportional to 121,956 and 190,068

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Solution

The third proportional to 121,956 and 190,068 is: 296,220.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,956 : 190,068 = 190,068 : x
  2. Step 2: Convert to fraction form
    121,956/190,068 = 190,068/x
  3. Step 3: Cross multiply
    121,956x = 190,068 × 190,068
  4. Step 4: Simplify right side
    121,956x = 36,125,844,624
  5. Step 5: Solve for x
    x = 36,125,844,624/121,956
  6. Step 6: Final answer
    x = 296,220.31

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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.