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Finding the Third Proportional to 64,736 and 138,474

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Solution

The third proportional to 64,736 and 138,474 is: 296,203.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,736 : 138,474 = 138,474 : x
  2. Step 2: Convert to fraction form
    64,736/138,474 = 138,474/x
  3. Step 3: Cross multiply
    64,736x = 138,474 × 138,474
  4. Step 4: Simplify right side
    64,736x = 19,175,048,676
  5. Step 5: Solve for x
    x = 19,175,048,676/64,736
  6. Step 6: Final answer
    x = 296,203.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.