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Finding the Third Proportional to 77,985 and 165,267

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Solution

The third proportional to 77,985 and 165,267 is: 350,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,985 : 165,267 = 165,267 : x
  2. Step 2: Convert to fraction form
    77,985/165,267 = 165,267/x
  3. Step 3: Cross multiply
    77,985x = 165,267 × 165,267
  4. Step 4: Simplify right side
    77,985x = 27,313,181,289
  5. Step 5: Solve for x
    x = 27,313,181,289/77,985
  6. Step 6: Final answer
    x = 350,236.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.