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Finding the Third Proportional to 129,734 and 165,774

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Solution

The third proportional to 129,734 and 165,774 is: 211,825.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,734 : 165,774 = 165,774 : x
  2. Step 2: Convert to fraction form
    129,734/165,774 = 165,774/x
  3. Step 3: Cross multiply
    129,734x = 165,774 × 165,774
  4. Step 4: Simplify right side
    129,734x = 27,481,019,076
  5. Step 5: Solve for x
    x = 27,481,019,076/129,734
  6. Step 6: Final answer
    x = 211,825.88

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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.