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Finding the Third Proportional to 64,636 and 135,127

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Solution

The third proportional to 64,636 and 135,127 is: 282,494.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,636 : 135,127 = 135,127 : x
  2. Step 2: Convert to fraction form
    64,636/135,127 = 135,127/x
  3. Step 3: Cross multiply
    64,636x = 135,127 × 135,127
  4. Step 4: Simplify right side
    64,636x = 18,259,306,129
  5. Step 5: Solve for x
    x = 18,259,306,129/64,636
  6. Step 6: Final answer
    x = 282,494.37

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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.