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Finding the Third Proportional to 64,648 and 135,152

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Solution

The third proportional to 64,648 and 135,152 is: 282,546.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,648 : 135,152 = 135,152 : x
  2. Step 2: Convert to fraction form
    64,648/135,152 = 135,152/x
  3. Step 3: Cross multiply
    64,648x = 135,152 × 135,152
  4. Step 4: Simplify right side
    64,648x = 18,266,063,104
  5. Step 5: Solve for x
    x = 18,266,063,104/64,648
  6. Step 6: Final answer
    x = 282,546.45

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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.