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Finding the Third Proportional to 64,638 and 135,159

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Solution

The third proportional to 64,638 and 135,159 is: 282,619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,638 : 135,159 = 135,159 : x
  2. Step 2: Convert to fraction form
    64,638/135,159 = 135,159/x
  3. Step 3: Cross multiply
    64,638x = 135,159 × 135,159
  4. Step 4: Simplify right side
    64,638x = 18,267,955,281
  5. Step 5: Solve for x
    x = 18,267,955,281/64,638
  6. Step 6: Final answer
    x = 282,619.44

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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.