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Finding the Third Proportional to 115,945 and 165,411

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Solution

The third proportional to 115,945 and 165,411 is: 235,980.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,945 : 165,411 = 165,411 : x
  2. Step 2: Convert to fraction form
    115,945/165,411 = 165,411/x
  3. Step 3: Cross multiply
    115,945x = 165,411 × 165,411
  4. Step 4: Simplify right side
    115,945x = 27,360,798,921
  5. Step 5: Solve for x
    x = 27,360,798,921/115,945
  6. Step 6: Final answer
    x = 235,980.84

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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.