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Finding the Third Proportional to 64,629 and 135,144

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Solution

The third proportional to 64,629 and 135,144 is: 282,596.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,629 : 135,144 = 135,144 : x
  2. Step 2: Convert to fraction form
    64,629/135,144 = 135,144/x
  3. Step 3: Cross multiply
    64,629x = 135,144 × 135,144
  4. Step 4: Simplify right side
    64,629x = 18,263,900,736
  5. Step 5: Solve for x
    x = 18,263,900,736/64,629
  6. Step 6: Final answer
    x = 282,596.06

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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.