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Finding the Third Proportional to 75,638 and 165,128

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Solution

The third proportional to 75,638 and 165,128 is: 360,496.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,638 : 165,128 = 165,128 : x
  2. Step 2: Convert to fraction form
    75,638/165,128 = 165,128/x
  3. Step 3: Cross multiply
    75,638x = 165,128 × 165,128
  4. Step 4: Simplify right side
    75,638x = 27,267,256,384
  5. Step 5: Solve for x
    x = 27,267,256,384/75,638
  6. Step 6: Final answer
    x = 360,496.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.