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Finding the Third Proportional to 80,508 and 189,432

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Solution

The third proportional to 80,508 and 189,432 is: 445,725.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,508 : 189,432 = 189,432 : x
  2. Step 2: Convert to fraction form
    80,508/189,432 = 189,432/x
  3. Step 3: Cross multiply
    80,508x = 189,432 × 189,432
  4. Step 4: Simplify right side
    80,508x = 35,884,482,624
  5. Step 5: Solve for x
    x = 35,884,482,624/80,508
  6. Step 6: Final answer
    x = 445,725.67

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.