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Finding the Third Proportional to 135,342 and 189,216

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Solution

The third proportional to 135,342 and 189,216 is: 264,534.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,342 : 189,216 = 189,216 : x
  2. Step 2: Convert to fraction form
    135,342/189,216 = 189,216/x
  3. Step 3: Cross multiply
    135,342x = 189,216 × 189,216
  4. Step 4: Simplify right side
    135,342x = 35,802,694,656
  5. Step 5: Solve for x
    x = 35,802,694,656/135,342
  6. Step 6: Final answer
    x = 264,534.99

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.