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Finding the Third Proportional to 103,409 and 165,911

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Solution

The third proportional to 103,409 and 165,911 is: 266,190.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,409 : 165,911 = 165,911 : x
  2. Step 2: Convert to fraction form
    103,409/165,911 = 165,911/x
  3. Step 3: Cross multiply
    103,409x = 165,911 × 165,911
  4. Step 4: Simplify right side
    103,409x = 27,526,459,921
  5. Step 5: Solve for x
    x = 27,526,459,921/103,409
  6. Step 6: Final answer
    x = 266,190.18

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.