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Finding the Third Proportional to 128,124 and 191,138

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Solution

The third proportional to 128,124 and 191,138 is: 285,143.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,124 : 191,138 = 191,138 : x
  2. Step 2: Convert to fraction form
    128,124/191,138 = 191,138/x
  3. Step 3: Cross multiply
    128,124x = 191,138 × 191,138
  4. Step 4: Simplify right side
    128,124x = 36,533,735,044
  5. Step 5: Solve for x
    x = 36,533,735,044/128,124
  6. Step 6: Final answer
    x = 285,143.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.