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Finding the Third Proportional to 128,780 and 189,318

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Solution

The third proportional to 128,780 and 189,318 is: 278,314.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,780 : 189,318 = 189,318 : x
  2. Step 2: Convert to fraction form
    128,780/189,318 = 189,318/x
  3. Step 3: Cross multiply
    128,780x = 189,318 × 189,318
  4. Step 4: Simplify right side
    128,780x = 35,841,305,124
  5. Step 5: Solve for x
    x = 35,841,305,124/128,780
  6. Step 6: Final answer
    x = 278,314.22

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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.