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Finding the Third Proportional to 119,915 and 173,243

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Solution

The third proportional to 119,915 and 173,243 is: 250,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,915 : 173,243 = 173,243 : x
  2. Step 2: Convert to fraction form
    119,915/173,243 = 173,243/x
  3. Step 3: Cross multiply
    119,915x = 173,243 × 173,243
  4. Step 4: Simplify right side
    119,915x = 30,013,137,049
  5. Step 5: Solve for x
    x = 30,013,137,049/119,915
  6. Step 6: Final answer
    x = 250,286.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.