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Finding the Third Proportional to 187,819 and 281,729

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Solution

The third proportional to 187,819 and 281,729 is: 422,594.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,819 : 281,729 = 281,729 : x
  2. Step 2: Convert to fraction form
    187,819/281,729 = 281,729/x
  3. Step 3: Cross multiply
    187,819x = 281,729 × 281,729
  4. Step 4: Simplify right side
    187,819x = 79,371,229,441
  5. Step 5: Solve for x
    x = 79,371,229,441/187,819
  6. Step 6: Final answer
    x = 422,594.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.