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Finding the Third Proportional to 115,878 and 165,390

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Solution

The third proportional to 115,878 and 165,390 is: 236,057.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,878 : 165,390 = 165,390 : x
  2. Step 2: Convert to fraction form
    115,878/165,390 = 165,390/x
  3. Step 3: Cross multiply
    115,878x = 165,390 × 165,390
  4. Step 4: Simplify right side
    115,878x = 27,353,852,100
  5. Step 5: Solve for x
    x = 27,353,852,100/115,878
  6. Step 6: Final answer
    x = 236,057.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.