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Finding the Third Proportional to 212,898 and 296,015

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Solution

The third proportional to 212,898 and 296,015 is: 411,581.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,898 : 296,015 = 296,015 : x
  2. Step 2: Convert to fraction form
    212,898/296,015 = 296,015/x
  3. Step 3: Cross multiply
    212,898x = 296,015 × 296,015
  4. Step 4: Simplify right side
    212,898x = 87,624,880,225
  5. Step 5: Solve for x
    x = 87,624,880,225/212,898
  6. Step 6: Final answer
    x = 411,581.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.