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Finding the Third Proportional to 189,928 and 281,964

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Solution

The third proportional to 189,928 and 281,964 is: 418,599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,928 : 281,964 = 281,964 : x
  2. Step 2: Convert to fraction form
    189,928/281,964 = 281,964/x
  3. Step 3: Cross multiply
    189,928x = 281,964 × 281,964
  4. Step 4: Simplify right side
    189,928x = 79,503,697,296
  5. Step 5: Solve for x
    x = 79,503,697,296/189,928
  6. Step 6: Final answer
    x = 418,599.14

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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.