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Finding the Third Proportional to 103,689 and 165,380

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Solution

The third proportional to 103,689 and 165,380 is: 263,774.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,689 : 165,380 = 165,380 : x
  2. Step 2: Convert to fraction form
    103,689/165,380 = 165,380/x
  3. Step 3: Cross multiply
    103,689x = 165,380 × 165,380
  4. Step 4: Simplify right side
    103,689x = 27,350,544,400
  5. Step 5: Solve for x
    x = 27,350,544,400/103,689
  6. Step 6: Final answer
    x = 263,774.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.