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Finding the Third Proportional to 103,690 and 165,381

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Solution

The third proportional to 103,690 and 165,381 is: 263,775.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,690 : 165,381 = 165,381 : x
  2. Step 2: Convert to fraction form
    103,690/165,381 = 165,381/x
  3. Step 3: Cross multiply
    103,690x = 165,381 × 165,381
  4. Step 4: Simplify right side
    103,690x = 27,350,875,161
  5. Step 5: Solve for x
    x = 27,350,875,161/103,690
  6. Step 6: Final answer
    x = 263,775.44

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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.