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Finding the Third Proportional to 129,728 and 165,765

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Solution

The third proportional to 129,728 and 165,765 is: 211,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,728 : 165,765 = 165,765 : x
  2. Step 2: Convert to fraction form
    129,728/165,765 = 165,765/x
  3. Step 3: Cross multiply
    129,728x = 165,765 × 165,765
  4. Step 4: Simplify right side
    129,728x = 27,478,035,225
  5. Step 5: Solve for x
    x = 27,478,035,225/129,728
  6. Step 6: Final answer
    x = 211,812.68

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.