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Finding the Third Proportional to 66,342 and 138,832

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Solution

The third proportional to 66,342 and 138,832 is: 290,529.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,342 : 138,832 = 138,832 : x
  2. Step 2: Convert to fraction form
    66,342/138,832 = 138,832/x
  3. Step 3: Cross multiply
    66,342x = 138,832 × 138,832
  4. Step 4: Simplify right side
    66,342x = 19,274,324,224
  5. Step 5: Solve for x
    x = 19,274,324,224/66,342
  6. Step 6: Final answer
    x = 290,529.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.