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Finding the Third Proportional to 189,675 and 281,623.50

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Solution

The third proportional to 189,675 and 281,623.50 is: 418,145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,675 : 281,623.50 = 281,623.50 : x
  2. Step 2: Convert to fraction form
    189,675/281,623.50 = 281,623.50/x
  3. Step 3: Cross multiply
    189,675x = 281,623.50 × 281,623.50
  4. Step 4: Simplify right side
    189,675x = 79,311,795,752.25
  5. Step 5: Solve for x
    x = 79,311,795,752.25/189,675
  6. Step 6: Final answer
    x = 418,145.75

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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.