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Finding the Third Proportional to 131,313 and 196,921

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Solution

The third proportional to 131,313 and 196,921 is: 295,308.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,313 : 196,921 = 196,921 : x
  2. Step 2: Convert to fraction form
    131,313/196,921 = 196,921/x
  3. Step 3: Cross multiply
    131,313x = 196,921 × 196,921
  4. Step 4: Simplify right side
    131,313x = 38,777,880,241
  5. Step 5: Solve for x
    x = 38,777,880,241/131,313
  6. Step 6: Final answer
    x = 295,308.77

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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.