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Finding the Third Proportional to 81,105 and 189,432

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Solution

The third proportional to 81,105 and 189,432 is: 442,444.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,105 : 189,432 = 189,432 : x
  2. Step 2: Convert to fraction form
    81,105/189,432 = 189,432/x
  3. Step 3: Cross multiply
    81,105x = 189,432 × 189,432
  4. Step 4: Simplify right side
    81,105x = 35,884,482,624
  5. Step 5: Solve for x
    x = 35,884,482,624/81,105
  6. Step 6: Final answer
    x = 442,444.76

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.