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Finding the Third Proportional to 128,956 and 190,974

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Solution

The third proportional to 128,956 and 190,974 is: 282,817.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,956 : 190,974 = 190,974 : x
  2. Step 2: Convert to fraction form
    128,956/190,974 = 190,974/x
  3. Step 3: Cross multiply
    128,956x = 190,974 × 190,974
  4. Step 4: Simplify right side
    128,956x = 36,471,068,676
  5. Step 5: Solve for x
    x = 36,471,068,676/128,956
  6. Step 6: Final answer
    x = 282,817.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.