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Finding the Third Proportional to 135,861 and 296,406

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Solution

The third proportional to 135,861 and 296,406 is: 646,664.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,861 : 296,406 = 296,406 : x
  2. Step 2: Convert to fraction form
    135,861/296,406 = 296,406/x
  3. Step 3: Cross multiply
    135,861x = 296,406 × 296,406
  4. Step 4: Simplify right side
    135,861x = 87,856,516,836
  5. Step 5: Solve for x
    x = 87,856,516,836/135,861
  6. Step 6: Final answer
    x = 646,664.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.