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Finding the Third Proportional to 127,872 and 189,329

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Solution

The third proportional to 127,872 and 189,329 is: 280,323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,872 : 189,329 = 189,329 : x
  2. Step 2: Convert to fraction form
    127,872/189,329 = 189,329/x
  3. Step 3: Cross multiply
    127,872x = 189,329 × 189,329
  4. Step 4: Simplify right side
    127,872x = 35,845,470,241
  5. Step 5: Solve for x
    x = 35,845,470,241/127,872
  6. Step 6: Final answer
    x = 280,323.06

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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.