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Finding the Third Proportional to 128,770 and 189,302

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Solution

The third proportional to 128,770 and 189,302 is: 278,288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,770 : 189,302 = 189,302 : x
  2. Step 2: Convert to fraction form
    128,770/189,302 = 189,302/x
  3. Step 3: Cross multiply
    128,770x = 189,302 × 189,302
  4. Step 4: Simplify right side
    128,770x = 35,835,247,204
  5. Step 5: Solve for x
    x = 35,835,247,204/128,770
  6. Step 6: Final answer
    x = 278,288.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.