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Finding the Third Proportional to 65,434 and 138,668

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Solution

The third proportional to 65,434 and 138,668 is: 293,865.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,434 : 138,668 = 138,668 : x
  2. Step 2: Convert to fraction form
    65,434/138,668 = 138,668/x
  3. Step 3: Cross multiply
    65,434x = 138,668 × 138,668
  4. Step 4: Simplify right side
    65,434x = 19,228,814,224
  5. Step 5: Solve for x
    x = 19,228,814,224/65,434
  6. Step 6: Final answer
    x = 293,865.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.