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Finding the Third Proportional to 135,863 and 296,410

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Solution

The third proportional to 135,863 and 296,410 is: 646,672.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,863 : 296,410 = 296,410 : x
  2. Step 2: Convert to fraction form
    135,863/296,410 = 296,410/x
  3. Step 3: Cross multiply
    135,863x = 296,410 × 296,410
  4. Step 4: Simplify right side
    135,863x = 87,858,888,100
  5. Step 5: Solve for x
    x = 87,858,888,100/135,863
  6. Step 6: Final answer
    x = 646,672.66

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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.